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Finding the Fourth Proportional to 5,589.26, 8,382 and 2,256.65

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Solution

The fourth proportional to 5,589.26, 8,382 and 2,256.65 is: 3,384.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,589.26 : 8,382 = 2,256.65 : x
  2. Step 2: Convert to fraction form
    5,589.26/8,382 = 2,256.65/x
  3. Step 3: Cross multiply
    5,589.26x = 8,382 × 2,256.65
  4. Step 4: Simplify right side
    5,589.26x = 18,915,198.39
  5. Step 5: Solve for x
    x = 18,915,198.39/5,589.26
  6. Step 6: Final answer
    x = 3,384.21

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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.