Final answer:
Cynthia's original salary before the 4% raise was $42952.16, which can be found by dividing her current salary of $44670.25 by 1.04.
Step-by-step explanation:
To find Cynthia's salary before the 4% raise, we can set up a simple equation. Since after the raise Cynthia is making $44670.25, this amount represents 104% of her original salary (the extra 4% accounts for the raise).
We can let the variable x represent her original salary.
So, the equation we need to solve is 1.04x = $44670.25.
To solve for x, we divide both sides of the equation by 1.04:
x = $44670.25 / 1.04
x = $42952.16
Therefore, Cynthia was making $42952.16 before the raise.