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Finding the Fourth Proportional to 3,691.17, 5,522.40 and 3,380.90

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Solution

The fourth proportional to 3,691.17, 5,522.40 and 3,380.90 is: 5,058.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.17 : 5,522.40 = 3,380.90 : x
  2. Step 2: Convert to fraction form
    3,691.17/5,522.40 = 3,380.90/x
  3. Step 3: Cross multiply
    3,691.17x = 5,522.40 × 3,380.90
  4. Step 4: Simplify right side
    3,691.17x = 18,670,654.55
  5. Step 5: Solve for x
    x = 18,670,654.55/3,691.17
  6. Step 6: Final answer
    x = 5,058.19

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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.