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Finding the Fourth Proportional to 3,906.12, 5,863.23 and 2,616.60

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Solution

The fourth proportional to 3,906.12, 5,863.23 and 2,616.60 is: 3,927.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.12 : 5,863.23 = 2,616.60 : x
  2. Step 2: Convert to fraction form
    3,906.12/5,863.23 = 2,616.60/x
  3. Step 3: Cross multiply
    3,906.12x = 5,863.23 × 2,616.60
  4. Step 4: Simplify right side
    3,906.12x = 15,341,727.62
  5. Step 5: Solve for x
    x = 15,341,727.62/3,906.12
  6. Step 6: Final answer
    x = 3,927.61

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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.