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Finding the Fourth Proportional to 4,067.43, 5,609.43 and 3,171.39

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Solution

The fourth proportional to 4,067.43, 5,609.43 and 3,171.39 is: 4,373.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,067.43 : 5,609.43 = 3,171.39 : x
  2. Step 2: Convert to fraction form
    4,067.43/5,609.43 = 3,171.39/x
  3. Step 3: Cross multiply
    4,067.43x = 5,609.43 × 3,171.39
  4. Step 4: Simplify right side
    4,067.43x = 17,789,690.21
  5. Step 5: Solve for x
    x = 17,789,690.21/4,067.43
  6. Step 6: Final answer
    x = 4,373.69

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Why These Related Problems?

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