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Finding the Fourth Proportional to 3,227.40, 4,842.92 and 1,839.87

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Solution

The fourth proportional to 3,227.40, 4,842.92 and 1,839.87 is: 2,760.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227.40 : 4,842.92 = 1,839.87 : x
  2. Step 2: Convert to fraction form
    3,227.40/4,842.92 = 1,839.87/x
  3. Step 3: Cross multiply
    3,227.40x = 4,842.92 × 1,839.87
  4. Step 4: Simplify right side
    3,227.40x = 8,910,343.22
  5. Step 5: Solve for x
    x = 8,910,343.22/3,227.40
  6. Step 6: Final answer
    x = 2,760.84

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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.