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Finding the Fourth Proportional to 4,972.68, 6,862.10 and 2,734.52

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Solution

The fourth proportional to 4,972.68, 6,862.10 and 2,734.52 is: 3,773.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.68 : 6,862.10 = 2,734.52 : x
  2. Step 2: Convert to fraction form
    4,972.68/6,862.10 = 2,734.52/x
  3. Step 3: Cross multiply
    4,972.68x = 6,862.10 × 2,734.52
  4. Step 4: Simplify right side
    4,972.68x = 18,764,501.71
  5. Step 5: Solve for x
    x = 18,764,501.71/4,972.68
  6. Step 6: Final answer
    x = 3,773.52

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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.