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Finding the Fourth Proportional to 3,513.34, 5,269.82 and 1,781.92

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Solution

The fourth proportional to 3,513.34, 5,269.82 and 1,781.92 is: 2,672.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513.34 : 5,269.82 = 1,781.92 : x
  2. Step 2: Convert to fraction form
    3,513.34/5,269.82 = 1,781.92/x
  3. Step 3: Cross multiply
    3,513.34x = 5,269.82 × 1,781.92
  4. Step 4: Simplify right side
    3,513.34x = 9,390,397.65
  5. Step 5: Solve for x
    x = 9,390,397.65/3,513.34
  6. Step 6: Final answer
    x = 2,672.78

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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.