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Finding the Fourth Proportional to 6,198.46, 8,550.31 and 3,957.82

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Solution

The fourth proportional to 6,198.46, 8,550.31 and 3,957.82 is: 5,459.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198.46 : 8,550.31 = 3,957.82 : x
  2. Step 2: Convert to fraction form
    6,198.46/8,550.31 = 3,957.82/x
  3. Step 3: Cross multiply
    6,198.46x = 8,550.31 × 3,957.82
  4. Step 4: Simplify right side
    6,198.46x = 33,840,587.92
  5. Step 5: Solve for x
    x = 33,840,587.92/6,198.46
  6. Step 6: Final answer
    x = 5,459.52

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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.