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Finding the Fourth Proportional to 3,229.38, 4,839.78 and 1,280.52

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Solution

The fourth proportional to 3,229.38, 4,839.78 and 1,280.52 is: 1,919.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.38 : 4,839.78 = 1,280.52 : x
  2. Step 2: Convert to fraction form
    3,229.38/4,839.78 = 1,280.52/x
  3. Step 3: Cross multiply
    3,229.38x = 4,839.78 × 1,280.52
  4. Step 4: Simplify right side
    3,229.38x = 6,197,435.09
  5. Step 5: Solve for x
    x = 6,197,435.09/3,229.38
  6. Step 6: Final answer
    x = 1,919.08

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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.