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Finding the Fourth Proportional to 5,163.20, 7,737.26 and 3,209.48

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Solution

The fourth proportional to 5,163.20, 7,737.26 and 3,209.48 is: 4,809.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.20 : 7,737.26 = 3,209.48 : x
  2. Step 2: Convert to fraction form
    5,163.20/7,737.26 = 3,209.48/x
  3. Step 3: Cross multiply
    5,163.20x = 7,737.26 × 3,209.48
  4. Step 4: Simplify right side
    5,163.20x = 24,832,581.22
  5. Step 5: Solve for x
    x = 24,832,581.22/5,163.20
  6. Step 6: Final answer
    x = 4,809.53

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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.