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Finding the Fourth Proportional to 3,744.14, 5,167.17 and 2,682

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Solution

The fourth proportional to 3,744.14, 5,167.17 and 2,682 is: 3,701.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.14 : 5,167.17 = 2,682 : x
  2. Step 2: Convert to fraction form
    3,744.14/5,167.17 = 2,682/x
  3. Step 3: Cross multiply
    3,744.14x = 5,167.17 × 2,682
  4. Step 4: Simplify right side
    3,744.14x = 13,858,349.94
  5. Step 5: Solve for x
    x = 13,858,349.94/3,744.14
  6. Step 6: Final answer
    x = 3,701.35

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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.