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Finding the Fourth Proportional to 5,163.72, 7,752.06 and 3,793.20

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Solution

The fourth proportional to 5,163.72, 7,752.06 and 3,793.20 is: 5,694.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.72 : 7,752.06 = 3,793.20 : x
  2. Step 2: Convert to fraction form
    5,163.72/7,752.06 = 3,793.20/x
  3. Step 3: Cross multiply
    5,163.72x = 7,752.06 × 3,793.20
  4. Step 4: Simplify right side
    5,163.72x = 29,405,113.99
  5. Step 5: Solve for x
    x = 29,405,113.99/5,163.72
  6. Step 6: Final answer
    x = 5,694.56

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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.