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Finding the Fourth Proportional to 4,067.76, 5,613.50 and 2,204.76

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Solution

The fourth proportional to 4,067.76, 5,613.50 and 2,204.76 is: 3,042.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,067.76 : 5,613.50 = 2,204.76 : x
  2. Step 2: Convert to fraction form
    4,067.76/5,613.50 = 2,204.76/x
  3. Step 3: Cross multiply
    4,067.76x = 5,613.50 × 2,204.76
  4. Step 4: Simplify right side
    4,067.76x = 12,376,420.26
  5. Step 5: Solve for x
    x = 12,376,420.26/4,067.76
  6. Step 6: Final answer
    x = 3,042.56

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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.