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Finding the Fourth Proportional to 3,747.96, 5,171.55 and 2,404.74

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Solution

The fourth proportional to 3,747.96, 5,171.55 and 2,404.74 is: 3,318.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.96 : 5,171.55 = 2,404.74 : x
  2. Step 2: Convert to fraction form
    3,747.96/5,171.55 = 2,404.74/x
  3. Step 3: Cross multiply
    3,747.96x = 5,171.55 × 2,404.74
  4. Step 4: Simplify right side
    3,747.96x = 12,436,233.15
  5. Step 5: Solve for x
    x = 12,436,233.15/3,747.96
  6. Step 6: Final answer
    x = 3,318.13

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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.