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Finding the Fourth Proportional to 6,189.99, 8,540.12 and 3,672.90

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Solution

The fourth proportional to 6,189.99, 8,540.12 and 3,672.90 is: 5,067.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.99 : 8,540.12 = 3,672.90 : x
  2. Step 2: Convert to fraction form
    6,189.99/8,540.12 = 3,672.90/x
  3. Step 3: Cross multiply
    6,189.99x = 8,540.12 × 3,672.90
  4. Step 4: Simplify right side
    6,189.99x = 31,367,006.75
  5. Step 5: Solve for x
    x = 31,367,006.75/6,189.99
  6. Step 6: Final answer
    x = 5,067.38

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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.