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Finding the Fourth Proportional to 3,691.69, 5,093.39 and 2,432.30

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Solution

The fourth proportional to 3,691.69, 5,093.39 and 2,432.30 is: 3,355.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.69 : 5,093.39 = 2,432.30 : x
  2. Step 2: Convert to fraction form
    3,691.69/5,093.39 = 2,432.30/x
  3. Step 3: Cross multiply
    3,691.69x = 5,093.39 × 2,432.30
  4. Step 4: Simplify right side
    3,691.69x = 12,388,614.87
  5. Step 5: Solve for x
    x = 12,388,614.87/3,691.69
  6. Step 6: Final answer
    x = 3,355.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.