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Finding the Fourth Proportional to 5,715.68, 8,578.80 and 3,528.68

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Solution

The fourth proportional to 5,715.68, 8,578.80 and 3,528.68 is: 5,296.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715.68 : 8,578.80 = 3,528.68 : x
  2. Step 2: Convert to fraction form
    5,715.68/8,578.80 = 3,528.68/x
  3. Step 3: Cross multiply
    5,715.68x = 8,578.80 × 3,528.68
  4. Step 4: Simplify right side
    5,715.68x = 30,271,839.98
  5. Step 5: Solve for x
    x = 30,271,839.98/5,715.68
  6. Step 6: Final answer
    x = 5,296.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.