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Finding the Fourth Proportional to 3,651.62, 5,472.38 and 3,163.46

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Solution

The fourth proportional to 3,651.62, 5,472.38 and 3,163.46 is: 4,740.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,651.62 : 5,472.38 = 3,163.46 : x
  2. Step 2: Convert to fraction form
    3,651.62/5,472.38 = 3,163.46/x
  3. Step 3: Cross multiply
    3,651.62x = 5,472.38 × 3,163.46
  4. Step 4: Simplify right side
    3,651.62x = 17,311,655.23
  5. Step 5: Solve for x
    x = 17,311,655.23/3,651.62
  6. Step 6: Final answer
    x = 4,740.82

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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.