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Finding the Fourth Proportional to 5,306.38, 7,963.22 and 1,843.63

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Solution

The fourth proportional to 5,306.38, 7,963.22 and 1,843.63 is: 2,766.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.38 : 7,963.22 = 1,843.63 : x
  2. Step 2: Convert to fraction form
    5,306.38/7,963.22 = 1,843.63/x
  3. Step 3: Cross multiply
    5,306.38x = 7,963.22 × 1,843.63
  4. Step 4: Simplify right side
    5,306.38x = 14,681,231.29
  5. Step 5: Solve for x
    x = 14,681,231.29/5,306.38
  6. Step 6: Final answer
    x = 2,766.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.