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Finding the Fourth Proportional to 3,380.52, 5,078.09 and 2,861.55

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Solution

The fourth proportional to 3,380.52, 5,078.09 and 2,861.55 is: 4,298.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.52 : 5,078.09 = 2,861.55 : x
  2. Step 2: Convert to fraction form
    3,380.52/5,078.09 = 2,861.55/x
  3. Step 3: Cross multiply
    3,380.52x = 5,078.09 × 2,861.55
  4. Step 4: Simplify right side
    3,380.52x = 14,531,194.13
  5. Step 5: Solve for x
    x = 14,531,194.13/3,380.52
  6. Step 6: Final answer
    x = 4,298.51

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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.