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Finding the Fourth Proportional to 3,877.34, 5,351.19 and 2,306.30

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Solution

The fourth proportional to 3,877.34, 5,351.19 and 2,306.30 is: 3,182.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.34 : 5,351.19 = 2,306.30 : x
  2. Step 2: Convert to fraction form
    3,877.34/5,351.19 = 2,306.30/x
  3. Step 3: Cross multiply
    3,877.34x = 5,351.19 × 2,306.30
  4. Step 4: Simplify right side
    3,877.34x = 12,341,449.50
  5. Step 5: Solve for x
    x = 12,341,449.50/3,877.34
  6. Step 6: Final answer
    x = 3,182.97

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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.