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Finding the Fourth Proportional to 5,367, 7,400.22 and 5,034.90

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Solution

The fourth proportional to 5,367, 7,400.22 and 5,034.90 is: 6,942.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,367 : 7,400.22 = 5,034.90 : x
  2. Step 2: Convert to fraction form
    5,367/7,400.22 = 5,034.90/x
  3. Step 3: Cross multiply
    5,367x = 7,400.22 × 5,034.90
  4. Step 4: Simplify right side
    5,367x = 37,259,367.68
  5. Step 5: Solve for x
    x = 37,259,367.68/5,367
  6. Step 6: Final answer
    x = 6,942.31

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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.