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Finding the Fourth Proportional to 5,422.75, 8,129.53 and 2,138.20

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Solution

The fourth proportional to 5,422.75, 8,129.53 and 2,138.20 is: 3,205.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,422.75 : 8,129.53 = 2,138.20 : x
  2. Step 2: Convert to fraction form
    5,422.75/8,129.53 = 2,138.20/x
  3. Step 3: Cross multiply
    5,422.75x = 8,129.53 × 2,138.20
  4. Step 4: Simplify right side
    5,422.75x = 17,382,561.05
  5. Step 5: Solve for x
    x = 17,382,561.05/5,422.75
  6. Step 6: Final answer
    x = 3,205.49

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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.