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Finding the Fourth Proportional to 5,267.57, 7,270.09 and 3,143.21

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Solution

The fourth proportional to 5,267.57, 7,270.09 and 3,143.21 is: 4,338.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,267.57 : 7,270.09 = 3,143.21 : x
  2. Step 2: Convert to fraction form
    5,267.57/7,270.09 = 3,143.21/x
  3. Step 3: Cross multiply
    5,267.57x = 7,270.09 × 3,143.21
  4. Step 4: Simplify right side
    5,267.57x = 22,851,375.38
  5. Step 5: Solve for x
    x = 22,851,375.38/5,267.57
  6. Step 6: Final answer
    x = 4,338.13

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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.