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Finding the Fourth Proportional to 3,801.61, 5,711.64 and 3,591.82

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Solution

The fourth proportional to 3,801.61, 5,711.64 and 3,591.82 is: 5,396.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.61 : 5,711.64 = 3,591.82 : x
  2. Step 2: Convert to fraction form
    3,801.61/5,711.64 = 3,591.82/x
  3. Step 3: Cross multiply
    3,801.61x = 5,711.64 × 3,591.82
  4. Step 4: Simplify right side
    3,801.61x = 20,515,182.78
  5. Step 5: Solve for x
    x = 20,515,182.78/3,801.61
  6. Step 6: Final answer
    x = 5,396.45

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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.