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Finding the Fourth Proportional to 3,691.64, 5,098.61 and 2,494.56

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Solution

The fourth proportional to 3,691.64, 5,098.61 and 2,494.56 is: 3,445.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.64 : 5,098.61 = 2,494.56 : x
  2. Step 2: Convert to fraction form
    3,691.64/5,098.61 = 2,494.56/x
  3. Step 3: Cross multiply
    3,691.64x = 5,098.61 × 2,494.56
  4. Step 4: Simplify right side
    3,691.64x = 12,718,788.56
  5. Step 5: Solve for x
    x = 12,718,788.56/3,691.64
  6. Step 6: Final answer
    x = 3,445.29

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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.