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Finding the Fourth Proportional to 5,879.64, 8,121.96 and 4,568.52

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Solution

The fourth proportional to 5,879.64, 8,121.96 and 4,568.52 is: 6,310.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,879.64 : 8,121.96 = 4,568.52 : x
  2. Step 2: Convert to fraction form
    5,879.64/8,121.96 = 4,568.52/x
  3. Step 3: Cross multiply
    5,879.64x = 8,121.96 × 4,568.52
  4. Step 4: Simplify right side
    5,879.64x = 37,105,336.70
  5. Step 5: Solve for x
    x = 37,105,336.70/5,879.64
  6. Step 6: Final answer
    x = 6,310.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.