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Finding the Fourth Proportional to 6,138.54, 8,471.28 and 3,344.04

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Solution

The fourth proportional to 6,138.54, 8,471.28 and 3,344.04 is: 4,614.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.54 : 8,471.28 = 3,344.04 : x
  2. Step 2: Convert to fraction form
    6,138.54/8,471.28 = 3,344.04/x
  3. Step 3: Cross multiply
    6,138.54x = 8,471.28 × 3,344.04
  4. Step 4: Simplify right side
    6,138.54x = 28,328,299.17
  5. Step 5: Solve for x
    x = 28,328,299.17/6,138.54
  6. Step 6: Final answer
    x = 4,614.83

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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.