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Finding the Fourth Proportional to 3,722.68, 5,141.46 and 2,397.16

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Solution

The fourth proportional to 3,722.68, 5,141.46 and 2,397.16 is: 3,310.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.68 : 5,141.46 = 2,397.16 : x
  2. Step 2: Convert to fraction form
    3,722.68/5,141.46 = 2,397.16/x
  3. Step 3: Cross multiply
    3,722.68x = 5,141.46 × 2,397.16
  4. Step 4: Simplify right side
    3,722.68x = 12,324,902.25
  5. Step 5: Solve for x
    x = 12,324,902.25/3,722.68
  6. Step 6: Final answer
    x = 3,310.76

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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.