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Finding the Fourth Proportional to 6,424.68, 8,863.38 and 4,329.48

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Solution

The fourth proportional to 6,424.68, 8,863.38 and 4,329.48 is: 5,972.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.68 : 8,863.38 = 4,329.48 : x
  2. Step 2: Convert to fraction form
    6,424.68/8,863.38 = 4,329.48/x
  3. Step 3: Cross multiply
    6,424.68x = 8,863.38 × 4,329.48
  4. Step 4: Simplify right side
    6,424.68x = 38,373,826.44
  5. Step 5: Solve for x
    x = 38,373,826.44/6,424.68
  6. Step 6: Final answer
    x = 5,972.88

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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.