To find the constant of proportionality in this scenario, we need to determine the cost per pair of jeans. We know that Alyssa bought 4 pairs of blue jeans for a total cost of $159.52.
The formula for the constant of proportionality \( k \) can be expressed as:
\[ k = \frac{\text{Total Cost}}{\text{Number of Pairs}} \]
Plugging in the values we have:
\[ k = \frac{159.52}{4} \]
Now we perform the calculation:
\[ k = 39.88 \]
Therefore, the constant of proportionality in terms of dollars per pair of jeans is:
\[ \boxed{39.88} \]