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Finding the Fourth Proportional to 5,198.46, 7,797.69 and 2,732.82

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Solution

The fourth proportional to 5,198.46, 7,797.69 and 2,732.82 is: 4,099.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.46 : 7,797.69 = 2,732.82 : x
  2. Step 2: Convert to fraction form
    5,198.46/7,797.69 = 2,732.82/x
  3. Step 3: Cross multiply
    5,198.46x = 7,797.69 × 2,732.82
  4. Step 4: Simplify right side
    5,198.46x = 21,309,683.19
  5. Step 5: Solve for x
    x = 21,309,683.19/5,198.46
  6. Step 6: Final answer
    x = 4,099.23

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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.