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Finding the Fourth Proportional to 3,781.75, 5,668.42 and 2,854.30

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Solution

The fourth proportional to 3,781.75, 5,668.42 and 2,854.30 is: 4,278.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.75 : 5,668.42 = 2,854.30 : x
  2. Step 2: Convert to fraction form
    3,781.75/5,668.42 = 2,854.30/x
  3. Step 3: Cross multiply
    3,781.75x = 5,668.42 × 2,854.30
  4. Step 4: Simplify right side
    3,781.75x = 16,179,349.90
  5. Step 5: Solve for x
    x = 16,179,349.90/3,781.75
  6. Step 6: Final answer
    x = 4,278.27

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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.