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Finding the Fourth Proportional to 3,731.52, 5,138.16 and 3,234.20

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Solution

The fourth proportional to 3,731.52, 5,138.16 and 3,234.20 is: 4,453.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,731.52 : 5,138.16 = 3,234.20 : x
  2. Step 2: Convert to fraction form
    3,731.52/5,138.16 = 3,234.20/x
  3. Step 3: Cross multiply
    3,731.52x = 5,138.16 × 3,234.20
  4. Step 4: Simplify right side
    3,731.52x = 16,617,837.07
  5. Step 5: Solve for x
    x = 16,617,837.07/3,731.52
  6. Step 6: Final answer
    x = 4,453.37

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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.