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Finding the Fourth Proportional to 3,691.34, 5,094.59 and 2,432.19

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Solution

The fourth proportional to 3,691.34, 5,094.59 and 2,432.19 is: 3,356.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.34 : 5,094.59 = 2,432.19 : x
  2. Step 2: Convert to fraction form
    3,691.34/5,094.59 = 2,432.19/x
  3. Step 3: Cross multiply
    3,691.34x = 5,094.59 × 2,432.19
  4. Step 4: Simplify right side
    3,691.34x = 12,391,010.85
  5. Step 5: Solve for x
    x = 12,391,010.85/3,691.34
  6. Step 6: Final answer
    x = 3,356.78

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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.