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Finding the Fourth Proportional to 5,042.57, 7,564.22 and 1,344.78

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Solution

The fourth proportional to 5,042.57, 7,564.22 and 1,344.78 is: 2,017.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,042.57 : 7,564.22 = 1,344.78 : x
  2. Step 2: Convert to fraction form
    5,042.57/7,564.22 = 1,344.78/x
  3. Step 3: Cross multiply
    5,042.57x = 7,564.22 × 1,344.78
  4. Step 4: Simplify right side
    5,042.57x = 10,172,230.68
  5. Step 5: Solve for x
    x = 10,172,230.68/5,042.57
  6. Step 6: Final answer
    x = 2,017.27

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1.5x scale

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.