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Finding the Fourth Proportional to 4,096.62, 5,647.37 and 3,257.66

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Solution

The fourth proportional to 4,096.62, 5,647.37 and 3,257.66 is: 4,490.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.62 : 5,647.37 = 3,257.66 : x
  2. Step 2: Convert to fraction form
    4,096.62/5,647.37 = 3,257.66/x
  3. Step 3: Cross multiply
    4,096.62x = 5,647.37 × 3,257.66
  4. Step 4: Simplify right side
    4,096.62x = 18,397,211.35
  5. Step 5: Solve for x
    x = 18,397,211.35/4,096.62
  6. Step 6: Final answer
    x = 4,490.83

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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.