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Finding the Fourth Proportional to 3,717.60, 5,573.44 and 1,842.17

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Solution

The fourth proportional to 3,717.60, 5,573.44 and 1,842.17 is: 2,761.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,717.60 : 5,573.44 = 1,842.17 : x
  2. Step 2: Convert to fraction form
    3,717.60/5,573.44 = 1,842.17/x
  3. Step 3: Cross multiply
    3,717.60x = 5,573.44 × 1,842.17
  4. Step 4: Simplify right side
    3,717.60x = 10,267,221.91
  5. Step 5: Solve for x
    x = 10,267,221.91/3,717.60
  6. Step 6: Final answer
    x = 2,761.79

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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.