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Finding the Fourth Proportional to 5,591.29, 7,716.20 and 3,201.64

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Solution

The fourth proportional to 5,591.29, 7,716.20 and 3,201.64 is: 4,418.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,591.29 : 7,716.20 = 3,201.64 : x
  2. Step 2: Convert to fraction form
    5,591.29/7,716.20 = 3,201.64/x
  3. Step 3: Cross multiply
    5,591.29x = 7,716.20 × 3,201.64
  4. Step 4: Simplify right side
    5,591.29x = 24,704,494.57
  5. Step 5: Solve for x
    x = 24,704,494.57/5,591.29
  6. Step 6: Final answer
    x = 4,418.39

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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.