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Finding the Fourth Proportional to 3,781.36, 5,217.15 and 2,992.96

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Solution

The fourth proportional to 3,781.36, 5,217.15 and 2,992.96 is: 4,129.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.36 : 5,217.15 = 2,992.96 : x
  2. Step 2: Convert to fraction form
    3,781.36/5,217.15 = 2,992.96/x
  3. Step 3: Cross multiply
    3,781.36x = 5,217.15 × 2,992.96
  4. Step 4: Simplify right side
    3,781.36x = 15,614,721.26
  5. Step 5: Solve for x
    x = 15,614,721.26/3,781.36
  6. Step 6: Final answer
    x = 4,129.39

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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.