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Finding the Fourth Proportional to 3,429.71, 5,144.56 and 1,238.44

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Solution

The fourth proportional to 3,429.71, 5,144.56 and 1,238.44 is: 1,857.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.71 : 5,144.56 = 1,238.44 : x
  2. Step 2: Convert to fraction form
    3,429.71/5,144.56 = 1,238.44/x
  3. Step 3: Cross multiply
    3,429.71x = 5,144.56 × 1,238.44
  4. Step 4: Simplify right side
    3,429.71x = 6,371,229.54
  5. Step 5: Solve for x
    x = 6,371,229.54/3,429.71
  6. Step 6: Final answer
    x = 1,857.66

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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.