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Finding the Fourth Proportional to 3,691.79, 5,540.82 and 1,842.35

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Solution

The fourth proportional to 3,691.79, 5,540.82 and 1,842.35 is: 2,765.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.79 : 5,540.82 = 1,842.35 : x
  2. Step 2: Convert to fraction form
    3,691.79/5,540.82 = 1,842.35/x
  3. Step 3: Cross multiply
    3,691.79x = 5,540.82 × 1,842.35
  4. Step 4: Simplify right side
    3,691.79x = 10,208,129.73
  5. Step 5: Solve for x
    x = 10,208,129.73/3,691.79
  6. Step 6: Final answer
    x = 2,765.09

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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.