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Finding the Fourth Proportional to 4,067.74, 5,613.10 and 3,006.15

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Solution

The fourth proportional to 4,067.74, 5,613.10 and 3,006.15 is: 4,148.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,067.74 : 5,613.10 = 3,006.15 : x
  2. Step 2: Convert to fraction form
    4,067.74/5,613.10 = 3,006.15/x
  3. Step 3: Cross multiply
    4,067.74x = 5,613.10 × 3,006.15
  4. Step 4: Simplify right side
    4,067.74x = 16,873,820.57
  5. Step 5: Solve for x
    x = 16,873,820.57/4,067.74
  6. Step 6: Final answer
    x = 4,148.21

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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.