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Finding the Fourth Proportional to 4,198.71, 6,288.49 and 2,008.99

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Solution

The fourth proportional to 4,198.71, 6,288.49 and 2,008.99 is: 3,008.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.71 : 6,288.49 = 2,008.99 : x
  2. Step 2: Convert to fraction form
    4,198.71/6,288.49 = 2,008.99/x
  3. Step 3: Cross multiply
    4,198.71x = 6,288.49 × 2,008.99
  4. Step 4: Simplify right side
    4,198.71x = 12,633,472.04
  5. Step 5: Solve for x
    x = 12,633,472.04/4,198.71
  6. Step 6: Final answer
    x = 3,008.89

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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.