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Finding the Fourth Proportional to 5,273.20, 7,912.53 and 3,824.32

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Solution

The fourth proportional to 5,273.20, 7,912.53 and 3,824.32 is: 5,738.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,273.20 : 7,912.53 = 3,824.32 : x
  2. Step 2: Convert to fraction form
    5,273.20/7,912.53 = 3,824.32/x
  3. Step 3: Cross multiply
    5,273.20x = 7,912.53 × 3,824.32
  4. Step 4: Simplify right side
    5,273.20x = 30,260,046.73
  5. Step 5: Solve for x
    x = 30,260,046.73/5,273.20
  6. Step 6: Final answer
    x = 5,738.46

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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.