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Finding the Fourth Proportional to 5,591.52, 7,716.32 and 3,107.52

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Solution

The fourth proportional to 5,591.52, 7,716.32 and 3,107.52 is: 4,288.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,591.52 : 7,716.32 = 3,107.52 : x
  2. Step 2: Convert to fraction form
    5,591.52/7,716.32 = 3,107.52/x
  3. Step 3: Cross multiply
    5,591.52x = 7,716.32 × 3,107.52
  4. Step 4: Simplify right side
    5,591.52x = 23,978,618.73
  5. Step 5: Solve for x
    x = 23,978,618.73/5,591.52
  6. Step 6: Final answer
    x = 4,288.39

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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.