Dynamic 4-Week Lookback from One Date Slicer

It's possible.

The scenario you describe is essentially a kind of time intelligence, which can be achieved through measurement values ​​and calculation groups.
like this.

Another way is to write code in a calculation group that can be applied to different measures, which looks like different slicers are used

Step 1) Capture the selected Monday

Selected Week =
SELECTEDVALUE('Date'[Date])

Make sure:

• Your slicer is single-select

• It uses the Date table (not the fact table)

Step 2) Create offset measures

Metric – Week 0 =
VAR SelectedMonday = [Selected Week]
RETURN
CALCULATE(
    [Your Metric],
    'Date'[Date] = SelectedMonday
)

Metric – Week -1 =
VAR SelectedMonday = [Selected Week]
RETURN
CALCULATE(
    [Your Metric],
    'Date'[Date] = SelectedMonday - 7
)

Metric – Week -2 =
VAR SelectedMonday = [Selected Week]
RETURN
CALCULATE(
    [Your Metric],
    'Date'[Date] = SelectedMonday - 14
)

Metric – Week -3 =
VAR SelectedMonday = [Selected Week]
RETURN
CALCULATE(
    [Your Metric],
    'Date'[Date] = SelectedMonday - 21
)

Step 3) Use the correct measure in each table

Table 1 → use Metric – Week 0

Table 2 → use Metric – Week -1

Table 3 → use Metric – Week -2

Table 4 → use Metric – Week -3

Each visual now automatically shifts relative to the slicer selection.

Please find the below steps to achieve that 
Fact Table

Date Dimension Table 

Hence, All values matching as per source data 

We can also make it dynamic within a single measure – Please feel free to let us know if you need any help around that