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Finding the Fourth Proportional to 3,942.73, 5,441.21 and 2,174.33

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Solution

The fourth proportional to 3,942.73, 5,441.21 and 2,174.33 is: 3,000.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.73 : 5,441.21 = 2,174.33 : x
  2. Step 2: Convert to fraction form
    3,942.73/5,441.21 = 2,174.33/x
  3. Step 3: Cross multiply
    3,942.73x = 5,441.21 × 2,174.33
  4. Step 4: Simplify right side
    3,942.73x = 11,830,986.14
  5. Step 5: Solve for x
    x = 11,830,986.14/3,942.73
  6. Step 6: Final answer
    x = 3,000.71

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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.