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Finding the Fourth Proportional to 4,174.27, 5,760.47 and 2,311.27

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Solution

The fourth proportional to 4,174.27, 5,760.47 and 2,311.27 is: 3,189.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.27 : 5,760.47 = 2,311.27 : x
  2. Step 2: Convert to fraction form
    4,174.27/5,760.47 = 2,311.27/x
  3. Step 3: Cross multiply
    4,174.27x = 5,760.47 × 2,311.27
  4. Step 4: Simplify right side
    4,174.27x = 13,313,972.69
  5. Step 5: Solve for x
    x = 13,313,972.69/4,174.27
  6. Step 6: Final answer
    x = 3,189.54

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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.