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Finding the Fourth Proportional to 4,229.56, 6,344.32 and 2,821

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Solution

The fourth proportional to 4,229.56, 6,344.32 and 2,821 is: 4,231.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.56 : 6,344.32 = 2,821 : x
  2. Step 2: Convert to fraction form
    4,229.56/6,344.32 = 2,821/x
  3. Step 3: Cross multiply
    4,229.56x = 6,344.32 × 2,821
  4. Step 4: Simplify right side
    4,229.56x = 17,897,326.72
  5. Step 5: Solve for x
    x = 17,897,326.72/4,229.56
  6. Step 6: Final answer
    x = 4,231.49

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Why These Related Problems?

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