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Finding the Fourth Proportional to 6,193.20, 8,540.32 and 4,098

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Solution

The fourth proportional to 6,193.20, 8,540.32 and 4,098 is: 5,651.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.20 : 8,540.32 = 4,098 : x
  2. Step 2: Convert to fraction form
    6,193.20/8,540.32 = 4,098/x
  3. Step 3: Cross multiply
    6,193.20x = 8,540.32 × 4,098
  4. Step 4: Simplify right side
    6,193.20x = 34,998,231.36
  5. Step 5: Solve for x
    x = 34,998,231.36/6,193.20
  6. Step 6: Final answer
    x = 5,651.07

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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.