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Finding the Fourth Proportional to 5,695.49, 8,540.48 and 3,229.64

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Solution

The fourth proportional to 5,695.49, 8,540.48 and 3,229.64 is: 4,842.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.49 : 8,540.48 = 3,229.64 : x
  2. Step 2: Convert to fraction form
    5,695.49/8,540.48 = 3,229.64/x
  3. Step 3: Cross multiply
    5,695.49x = 8,540.48 × 3,229.64
  4. Step 4: Simplify right side
    5,695.49x = 27,582,616.98
  5. Step 5: Solve for x
    x = 27,582,616.98/5,695.49
  6. Step 6: Final answer
    x = 4,842.89

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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.