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Finding the Fourth Proportional to 5,983.80, 8,958.16 and 4,198.68

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Solution

The fourth proportional to 5,983.80, 8,958.16 and 4,198.68 is: 6,285.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,983.80 : 8,958.16 = 4,198.68 : x
  2. Step 2: Convert to fraction form
    5,983.80/8,958.16 = 4,198.68/x
  3. Step 3: Cross multiply
    5,983.80x = 8,958.16 × 4,198.68
  4. Step 4: Simplify right side
    5,983.80x = 37,612,447.23
  5. Step 5: Solve for x
    x = 37,612,447.23/5,983.80
  6. Step 6: Final answer
    x = 6,285.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.