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Finding the Fourth Proportional to 3,687.57, 5,093.82 and 3,425.13

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Solution

The fourth proportional to 3,687.57, 5,093.82 and 3,425.13 is: 4,731.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.57 : 5,093.82 = 3,425.13 : x
  2. Step 2: Convert to fraction form
    3,687.57/5,093.82 = 3,425.13/x
  3. Step 3: Cross multiply
    3,687.57x = 5,093.82 × 3,425.13
  4. Step 4: Simplify right side
    3,687.57x = 17,446,995.70
  5. Step 5: Solve for x
    x = 17,446,995.70/3,687.57
  6. Step 6: Final answer
    x = 4,731.30

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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.