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Finding the Fourth Proportional to 5,789.57, 8,679.22 and 2,785.86

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Solution

The fourth proportional to 5,789.57, 8,679.22 and 2,785.86 is: 4,176.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,789.57 : 8,679.22 = 2,785.86 : x
  2. Step 2: Convert to fraction form
    5,789.57/8,679.22 = 2,785.86/x
  3. Step 3: Cross multiply
    5,789.57x = 8,679.22 × 2,785.86
  4. Step 4: Simplify right side
    5,789.57x = 24,179,084.86
  5. Step 5: Solve for x
    x = 24,179,084.86/5,789.57
  6. Step 6: Final answer
    x = 4,176.32

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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.