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Finding the Fourth Proportional to 5,414.53, 7,471.97 and 3,024.55

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Solution

The fourth proportional to 5,414.53, 7,471.97 and 3,024.55 is: 4,173.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.53 : 7,471.97 = 3,024.55 : x
  2. Step 2: Convert to fraction form
    5,414.53/7,471.97 = 3,024.55/x
  3. Step 3: Cross multiply
    5,414.53x = 7,471.97 × 3,024.55
  4. Step 4: Simplify right side
    5,414.53x = 22,599,318.90
  5. Step 5: Solve for x
    x = 22,599,318.90/5,414.53
  6. Step 6: Final answer
    x = 4,173.83

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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.