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Finding the Fourth Proportional to 3,863.09, 5,789.55 and 2,108.86

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Solution

The fourth proportional to 3,863.09, 5,789.55 and 2,108.86 is: 3,160.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.09 : 5,789.55 = 2,108.86 : x
  2. Step 2: Convert to fraction form
    3,863.09/5,789.55 = 2,108.86/x
  3. Step 3: Cross multiply
    3,863.09x = 5,789.55 × 2,108.86
  4. Step 4: Simplify right side
    3,863.09x = 12,209,350.41
  5. Step 5: Solve for x
    x = 12,209,350.41/3,863.09
  6. Step 6: Final answer
    x = 3,160.51

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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.