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Finding the Fourth Proportional to 3,877.29, 5,351.81 and 2,306.43

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Solution

The fourth proportional to 3,877.29, 5,351.81 and 2,306.43 is: 3,183.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.29 : 5,351.81 = 2,306.43 : x
  2. Step 2: Convert to fraction form
    3,877.29/5,351.81 = 2,306.43/x
  3. Step 3: Cross multiply
    3,877.29x = 5,351.81 × 2,306.43
  4. Step 4: Simplify right side
    3,877.29x = 12,343,563.61
  5. Step 5: Solve for x
    x = 12,343,563.61/3,877.29
  6. Step 6: Final answer
    x = 3,183.55

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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.