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Finding the Fourth Proportional to 3,227.68, 4,829.28 and 1,912.14

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Solution

The fourth proportional to 3,227.68, 4,829.28 and 1,912.14 is: 2,860.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227.68 : 4,829.28 = 1,912.14 : x
  2. Step 2: Convert to fraction form
    3,227.68/4,829.28 = 1,912.14/x
  3. Step 3: Cross multiply
    3,227.68x = 4,829.28 × 1,912.14
  4. Step 4: Simplify right side
    3,227.68x = 9,234,259.46
  5. Step 5: Solve for x
    x = 9,234,259.46/3,227.68
  6. Step 6: Final answer
    x = 2,860.96

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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.