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Finding the Fourth Proportional to 4,138.68, 5,712.18 and 2,719.87

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Solution

The fourth proportional to 4,138.68, 5,712.18 and 2,719.87 is: 3,753.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.68 : 5,712.18 = 2,719.87 : x
  2. Step 2: Convert to fraction form
    4,138.68/5,712.18 = 2,719.87/x
  3. Step 3: Cross multiply
    4,138.68x = 5,712.18 × 2,719.87
  4. Step 4: Simplify right side
    4,138.68x = 15,536,387.02
  5. Step 5: Solve for x
    x = 15,536,387.02/4,138.68
  6. Step 6: Final answer
    x = 3,753.95

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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.