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Finding the Fourth Proportional to 6,144.28, 8,472.40 and 4,151.37

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Solution

The fourth proportional to 6,144.28, 8,472.40 and 4,151.37 is: 5,724.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.28 : 8,472.40 = 4,151.37 : x
  2. Step 2: Convert to fraction form
    6,144.28/8,472.40 = 4,151.37/x
  3. Step 3: Cross multiply
    6,144.28x = 8,472.40 × 4,151.37
  4. Step 4: Simplify right side
    6,144.28x = 35,172,067.19
  5. Step 5: Solve for x
    x = 35,172,067.19/6,144.28
  6. Step 6: Final answer
    x = 5,724.36

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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.