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Finding the Fourth Proportional to 3,861.14, 5,793.81 and 1,639.62

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Solution

The fourth proportional to 3,861.14, 5,793.81 and 1,639.62 is: 2,460.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.14 : 5,793.81 = 1,639.62 : x
  2. Step 2: Convert to fraction form
    3,861.14/5,793.81 = 1,639.62/x
  3. Step 3: Cross multiply
    3,861.14x = 5,793.81 × 1,639.62
  4. Step 4: Simplify right side
    3,861.14x = 9,499,640.60
  5. Step 5: Solve for x
    x = 9,499,640.60/3,861.14
  6. Step 6: Final answer
    x = 2,460.32

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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.