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Finding the Fourth Proportional to 3,854.49, 5,781.96 and 1,081.08

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Solution

The fourth proportional to 3,854.49, 5,781.96 and 1,081.08 is: 1,621.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.49 : 5,781.96 = 1,081.08 : x
  2. Step 2: Convert to fraction form
    3,854.49/5,781.96 = 1,081.08/x
  3. Step 3: Cross multiply
    3,854.49x = 5,781.96 × 1,081.08
  4. Step 4: Simplify right side
    3,854.49x = 6,250,761.32
  5. Step 5: Solve for x
    x = 6,250,761.32/3,854.49
  6. Step 6: Final answer
    x = 1,621.68

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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.