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Finding the Fourth Proportional to 5,198.67, 7,174.17 and 2,840.81

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Solution

The fourth proportional to 5,198.67, 7,174.17 and 2,840.81 is: 3,920.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.67 : 7,174.17 = 2,840.81 : x
  2. Step 2: Convert to fraction form
    5,198.67/7,174.17 = 2,840.81/x
  3. Step 3: Cross multiply
    5,198.67x = 7,174.17 × 2,840.81
  4. Step 4: Simplify right side
    5,198.67x = 20,380,471.81
  5. Step 5: Solve for x
    x = 20,380,471.81/5,198.67
  6. Step 6: Final answer
    x = 3,920.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.