Set up and solve a proportion for the following application problem. If 5 pounds of grass seed cover 396 square feet, how many pounds are needed for 4356 square feet?
Let's assume that the amount of grass seed needed is directly proportional to the area it covers. Let "x" represent the number of pounds needed for 4356 square feet.
By setting up the proportion, we can compare the relationship between the pounds of grass seed and the square footage:
5 pounds / 396 square feet = x pounds / 4356 square feet
Now we cross-multiply and solve for "x":
5 * 4356 = 396 * x
21780 = 396x
Divide both sides of the equation by 396:
21780 / 396 = x
55 = x
Therefore, 55 pounds of grass seed are needed for 4356 square feet.