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Finding the Fourth Proportional to 4,138.52, 6,204.68 and 2,494.68

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Solution

The fourth proportional to 4,138.52, 6,204.68 and 2,494.68 is: 3,740.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.52 : 6,204.68 = 2,494.68 : x
  2. Step 2: Convert to fraction form
    4,138.52/6,204.68 = 2,494.68/x
  3. Step 3: Cross multiply
    4,138.52x = 6,204.68 × 2,494.68
  4. Step 4: Simplify right side
    4,138.52x = 15,478,691.10
  5. Step 5: Solve for x
    x = 15,478,691.10/4,138.52
  6. Step 6: Final answer
    x = 3,740.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.