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Finding the Fourth Proportional to 4,134.41, 5,706.18 and 3,997.73

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Solution

The fourth proportional to 4,134.41, 5,706.18 and 3,997.73 is: 5,517.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,134.41 : 5,706.18 = 3,997.73 : x
  2. Step 2: Convert to fraction form
    4,134.41/5,706.18 = 3,997.73/x
  3. Step 3: Cross multiply
    4,134.41x = 5,706.18 × 3,997.73
  4. Step 4: Simplify right side
    4,134.41x = 22,811,738.44
  5. Step 5: Solve for x
    x = 22,811,738.44/4,134.41
  6. Step 6: Final answer
    x = 5,517.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.