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Finding the Fourth Proportional to 4,123.92, 5,691.11 and 2,446.64

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Solution

The fourth proportional to 4,123.92, 5,691.11 and 2,446.64 is: 3,376.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,123.92 : 5,691.11 = 2,446.64 : x
  2. Step 2: Convert to fraction form
    4,123.92/5,691.11 = 2,446.64/x
  3. Step 3: Cross multiply
    4,123.92x = 5,691.11 × 2,446.64
  4. Step 4: Simplify right side
    4,123.92x = 13,924,056.68
  5. Step 5: Solve for x
    x = 13,924,056.68/4,123.92
  6. Step 6: Final answer
    x = 3,376.41

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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.