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Finding the Fourth Proportional to 5,227.78, 7,840.23 and 3,754.66

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Solution

The fourth proportional to 5,227.78, 7,840.23 and 3,754.66 is: 5,630.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.78 : 7,840.23 = 3,754.66 : x
  2. Step 2: Convert to fraction form
    5,227.78/7,840.23 = 3,754.66/x
  3. Step 3: Cross multiply
    5,227.78x = 7,840.23 × 3,754.66
  4. Step 4: Simplify right side
    5,227.78x = 29,437,397.97
  5. Step 5: Solve for x
    x = 29,437,397.97/5,227.78
  6. Step 6: Final answer
    x = 5,630.96

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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.