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Finding the Fourth Proportional to 5,100.75, 7,651.17 and 2,022.75

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Solution

The fourth proportional to 5,100.75, 7,651.17 and 2,022.75 is: 3,034.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.75 : 7,651.17 = 2,022.75 : x
  2. Step 2: Convert to fraction form
    5,100.75/7,651.17 = 2,022.75/x
  3. Step 3: Cross multiply
    5,100.75x = 7,651.17 × 2,022.75
  4. Step 4: Simplify right side
    5,100.75x = 15,476,404.12
  5. Step 5: Solve for x
    x = 15,476,404.12/5,100.75
  6. Step 6: Final answer
    x = 3,034.14

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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.