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Finding the Fourth Proportional to 3,428.29, 5,142.13 and 1,672.61

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Solution

The fourth proportional to 3,428.29, 5,142.13 and 1,672.61 is: 2,508.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.29 : 5,142.13 = 1,672.61 : x
  2. Step 2: Convert to fraction form
    3,428.29/5,142.13 = 1,672.61/x
  3. Step 3: Cross multiply
    3,428.29x = 5,142.13 × 1,672.61
  4. Step 4: Simplify right side
    3,428.29x = 8,600,786.73
  5. Step 5: Solve for x
    x = 8,600,786.73/3,428.29
  6. Step 6: Final answer
    x = 2,508.77

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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.