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Finding the Fourth Proportional to 5,425.38, 7,486.22 and 3,067.47

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Solution

The fourth proportional to 5,425.38, 7,486.22 and 3,067.47 is: 4,232.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,425.38 : 7,486.22 = 3,067.47 : x
  2. Step 2: Convert to fraction form
    5,425.38/7,486.22 = 3,067.47/x
  3. Step 3: Cross multiply
    5,425.38x = 7,486.22 × 3,067.47
  4. Step 4: Simplify right side
    5,425.38x = 22,963,762.93
  5. Step 5: Solve for x
    x = 22,963,762.93/5,425.38
  6. Step 6: Final answer
    x = 4,232.66

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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.