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Finding the Fourth Proportional to 5,892.45, 8,132.82 and 3,737.61

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Solution

The fourth proportional to 5,892.45, 8,132.82 and 3,737.61 is: 5,158.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892.45 : 8,132.82 = 3,737.61 : x
  2. Step 2: Convert to fraction form
    5,892.45/8,132.82 = 3,737.61/x
  3. Step 3: Cross multiply
    5,892.45x = 8,132.82 × 3,737.61
  4. Step 4: Simplify right side
    5,892.45x = 30,397,268.70
  5. Step 5: Solve for x
    x = 30,397,268.70/5,892.45
  6. Step 6: Final answer
    x = 5,158.68

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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.