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Finding the Fourth Proportional to 3,691.07, 5,531.82 and 1,498.61

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Solution

The fourth proportional to 3,691.07, 5,531.82 and 1,498.61 is: 2,245.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.07 : 5,531.82 = 1,498.61 : x
  2. Step 2: Convert to fraction form
    3,691.07/5,531.82 = 1,498.61/x
  3. Step 3: Cross multiply
    3,691.07x = 5,531.82 × 1,498.61
  4. Step 4: Simplify right side
    3,691.07x = 8,290,013.11
  5. Step 5: Solve for x
    x = 8,290,013.11/3,691.07
  6. Step 6: Final answer
    x = 2,245.97

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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.