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Finding the Fourth Proportional to 3,691.92, 5,537.33 and 1,500.64

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Solution

The fourth proportional to 3,691.92, 5,537.33 and 1,500.64 is: 2,250.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.92 : 5,537.33 = 1,500.64 : x
  2. Step 2: Convert to fraction form
    3,691.92/5,537.33 = 1,500.64/x
  3. Step 3: Cross multiply
    3,691.92x = 5,537.33 × 1,500.64
  4. Step 4: Simplify right side
    3,691.92x = 8,309,538.89
  5. Step 5: Solve for x
    x = 8,309,538.89/3,691.92
  6. Step 6: Final answer
    x = 2,250.74

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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.