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Finding the Fourth Proportional to 3,229.38, 4,843.89 and 1,039.68

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Solution

The fourth proportional to 3,229.38, 4,843.89 and 1,039.68 is: 1,559.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.38 : 4,843.89 = 1,039.68 : x
  2. Step 2: Convert to fraction form
    3,229.38/4,843.89 = 1,039.68/x
  3. Step 3: Cross multiply
    3,229.38x = 4,843.89 × 1,039.68
  4. Step 4: Simplify right side
    3,229.38x = 5,036,095.56
  5. Step 5: Solve for x
    x = 5,036,095.56/3,229.38
  6. Step 6: Final answer
    x = 1,559.46

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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.