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Finding the Fourth Proportional to 5,227.24, 7,840.64 and 1,331.74

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Solution

The fourth proportional to 5,227.24, 7,840.64 and 1,331.74 is: 1,997.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.24 : 7,840.64 = 1,331.74 : x
  2. Step 2: Convert to fraction form
    5,227.24/7,840.64 = 1,331.74/x
  3. Step 3: Cross multiply
    5,227.24x = 7,840.64 × 1,331.74
  4. Step 4: Simplify right side
    5,227.24x = 10,441,693.91
  5. Step 5: Solve for x
    x = 10,441,693.91/5,227.24
  6. Step 6: Final answer
    x = 1,997.55

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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.