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Finding the Fourth Proportional to 4,198.20, 6,297.26 and 1,078.20

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Solution

The fourth proportional to 4,198.20, 6,297.26 and 1,078.20 is: 1,617.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.20 : 6,297.26 = 1,078.20 : x
  2. Step 2: Convert to fraction form
    4,198.20/6,297.26 = 1,078.20/x
  3. Step 3: Cross multiply
    4,198.20x = 6,297.26 × 1,078.20
  4. Step 4: Simplify right side
    4,198.20x = 6,789,705.73
  5. Step 5: Solve for x
    x = 6,789,705.73/4,198.20
  6. Step 6: Final answer
    x = 1,617.29

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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.