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Finding the Fourth Proportional to 5,591.57, 7,716.42 and 3,233.75

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Solution

The fourth proportional to 5,591.57, 7,716.42 and 3,233.75 is: 4,462.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,591.57 : 7,716.42 = 3,233.75 : x
  2. Step 2: Convert to fraction form
    5,591.57/7,716.42 = 3,233.75/x
  3. Step 3: Cross multiply
    5,591.57x = 7,716.42 × 3,233.75
  4. Step 4: Simplify right side
    5,591.57x = 24,952,934.59
  5. Step 5: Solve for x
    x = 24,952,934.59/5,591.57
  6. Step 6: Final answer
    x = 4,462.60

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