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Finding the Fourth Proportional to 4,198.69, 6,289.39 and 2,463.13

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Solution

The fourth proportional to 4,198.69, 6,289.39 and 2,463.13 is: 3,689.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.69 : 6,289.39 = 2,463.13 : x
  2. Step 2: Convert to fraction form
    4,198.69/6,289.39 = 2,463.13/x
  3. Step 3: Cross multiply
    4,198.69x = 6,289.39 × 2,463.13
  4. Step 4: Simplify right side
    4,198.69x = 15,491,541.43
  5. Step 5: Solve for x
    x = 15,491,541.43/4,198.69
  6. Step 6: Final answer
    x = 3,689.62

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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.