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Finding the Fourth Proportional to 5,101.86, 7,039.68 and 2,863.83

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Solution

The fourth proportional to 5,101.86, 7,039.68 and 2,863.83 is: 3,951.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.86 : 7,039.68 = 2,863.83 : x
  2. Step 2: Convert to fraction form
    5,101.86/7,039.68 = 2,863.83/x
  3. Step 3: Cross multiply
    5,101.86x = 7,039.68 × 2,863.83
  4. Step 4: Simplify right side
    5,101.86x = 20,160,414.86
  5. Step 5: Solve for x
    x = 20,160,414.86/5,101.86
  6. Step 6: Final answer
    x = 3,951.58

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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.