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Finding the Fourth Proportional to 5,372.68, 7,414.10 and 2,982.75

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Solution

The fourth proportional to 5,372.68, 7,414.10 and 2,982.75 is: 4,116.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,372.68 : 7,414.10 = 2,982.75 : x
  2. Step 2: Convert to fraction form
    5,372.68/7,414.10 = 2,982.75/x
  3. Step 3: Cross multiply
    5,372.68x = 7,414.10 × 2,982.75
  4. Step 4: Simplify right side
    5,372.68x = 22,114,425.31
  5. Step 5: Solve for x
    x = 22,114,425.31/5,372.68
  6. Step 6: Final answer
    x = 4,116.09

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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.