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Finding the Fourth Proportional to 5,227.46, 7,840.52 and 1,331.64

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Solution

The fourth proportional to 5,227.46, 7,840.52 and 1,331.64 is: 1,997.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.46 : 7,840.52 = 1,331.64 : x
  2. Step 2: Convert to fraction form
    5,227.46/7,840.52 = 1,331.64/x
  3. Step 3: Cross multiply
    5,227.46x = 7,840.52 × 1,331.64
  4. Step 4: Simplify right side
    5,227.46x = 10,440,750.05
  5. Step 5: Solve for x
    x = 10,440,750.05/5,227.46
  6. Step 6: Final answer
    x = 1,997.29

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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.