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Finding the Fourth Proportional to 3,691.92, 5,523.53 and 3,381.65

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Solution

The fourth proportional to 3,691.92, 5,523.53 and 3,381.65 is: 5,059.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.92 : 5,523.53 = 3,381.65 : x
  2. Step 2: Convert to fraction form
    3,691.92/5,523.53 = 3,381.65/x
  3. Step 3: Cross multiply
    3,691.92x = 5,523.53 × 3,381.65
  4. Step 4: Simplify right side
    3,691.92x = 18,678,600.70
  5. Step 5: Solve for x
    x = 18,678,600.70/3,691.92
  6. Step 6: Final answer
    x = 5,059.32

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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.