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Finding the Fourth Proportional to 5,755.86, 8,634.60 and 2,834.19

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Solution

The fourth proportional to 5,755.86, 8,634.60 and 2,834.19 is: 4,251.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755.86 : 8,634.60 = 2,834.19 : x
  2. Step 2: Convert to fraction form
    5,755.86/8,634.60 = 2,834.19/x
  3. Step 3: Cross multiply
    5,755.86x = 8,634.60 × 2,834.19
  4. Step 4: Simplify right side
    5,755.86x = 24,472,096.97
  5. Step 5: Solve for x
    x = 24,472,096.97/5,755.86
  6. Step 6: Final answer
    x = 4,251.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.