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Finding the Fourth Proportional to 4,198.86, 6,298.97 and 1,425.24

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Solution

The fourth proportional to 4,198.86, 6,298.97 and 1,425.24 is: 2,138.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.86 : 6,298.97 = 1,425.24 : x
  2. Step 2: Convert to fraction form
    4,198.86/6,298.97 = 1,425.24/x
  3. Step 3: Cross multiply
    4,198.86x = 6,298.97 × 1,425.24
  4. Step 4: Simplify right side
    4,198.86x = 8,977,544.00
  5. Step 5: Solve for x
    x = 8,977,544.00/4,198.86
  6. Step 6: Final answer
    x = 2,138.09

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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.