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Finding the Fourth Proportional to 5,645.88, 7,791.32 and 3,161.88

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Solution

The fourth proportional to 5,645.88, 7,791.32 and 3,161.88 is: 4,363.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.88 : 7,791.32 = 3,161.88 : x
  2. Step 2: Convert to fraction form
    5,645.88/7,791.32 = 3,161.88/x
  3. Step 3: Cross multiply
    5,645.88x = 7,791.32 × 3,161.88
  4. Step 4: Simplify right side
    5,645.88x = 24,635,164.12
  5. Step 5: Solve for x
    x = 24,635,164.12/5,645.88
  6. Step 6: Final answer
    x = 4,363.39

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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.