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Finding the Fourth Proportional to 4,169.44, 5,754.12 and 2,306.56

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Solution

The fourth proportional to 4,169.44, 5,754.12 and 2,306.56 is: 3,183.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,169.44 : 5,754.12 = 2,306.56 : x
  2. Step 2: Convert to fraction form
    4,169.44/5,754.12 = 2,306.56/x
  3. Step 3: Cross multiply
    4,169.44x = 5,754.12 × 2,306.56
  4. Step 4: Simplify right side
    4,169.44x = 13,272,223.03
  5. Step 5: Solve for x
    x = 13,272,223.03/4,169.44
  6. Step 6: Final answer
    x = 3,183.21

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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.