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Finding the Fourth Proportional to 4,067.90, 5,613.75 and 2,204.90

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Solution

The fourth proportional to 4,067.90, 5,613.75 and 2,204.90 is: 3,042.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,067.90 : 5,613.75 = 2,204.90 : x
  2. Step 2: Convert to fraction form
    4,067.90/5,613.75 = 2,204.90/x
  3. Step 3: Cross multiply
    4,067.90x = 5,613.75 × 2,204.90
  4. Step 4: Simplify right side
    4,067.90x = 12,377,729.31
  5. Step 5: Solve for x
    x = 12,377,729.31/4,067.90
  6. Step 6: Final answer
    x = 3,042.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.