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Finding the Fourth Proportional to 5,660.31, 8,478.17 and 3,462.39

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Solution

The fourth proportional to 5,660.31, 8,478.17 and 3,462.39 is: 5,186.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,660.31 : 8,478.17 = 3,462.39 : x
  2. Step 2: Convert to fraction form
    5,660.31/8,478.17 = 3,462.39/x
  3. Step 3: Cross multiply
    5,660.31x = 8,478.17 × 3,462.39
  4. Step 4: Simplify right side
    5,660.31x = 29,354,713.71
  5. Step 5: Solve for x
    x = 29,354,713.71/5,660.31
  6. Step 6: Final answer
    x = 5,186.06

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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.