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Finding the Fourth Proportional to 3,591.68, 5,379.70 and 2,200.78

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Solution

The fourth proportional to 3,591.68, 5,379.70 and 2,200.78 is: 3,296.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,591.68 : 5,379.70 = 2,200.78 : x
  2. Step 2: Convert to fraction form
    3,591.68/5,379.70 = 2,200.78/x
  3. Step 3: Cross multiply
    3,591.68x = 5,379.70 × 2,200.78
  4. Step 4: Simplify right side
    3,591.68x = 11,839,536.17
  5. Step 5: Solve for x
    x = 11,839,536.17/3,591.68
  6. Step 6: Final answer
    x = 3,296.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.