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Finding the Fourth Proportional to 4,198.44, 6,295.84 and 2,445.20

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Solution

The fourth proportional to 4,198.44, 6,295.84 and 2,445.20 is: 3,666.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.44 : 6,295.84 = 2,445.20 : x
  2. Step 2: Convert to fraction form
    4,198.44/6,295.84 = 2,445.20/x
  3. Step 3: Cross multiply
    4,198.44x = 6,295.84 × 2,445.20
  4. Step 4: Simplify right side
    4,198.44x = 15,394,550.38
  5. Step 5: Solve for x
    x = 15,394,550.38/4,198.44
  6. Step 6: Final answer
    x = 3,666.73

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