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Finding the Fourth Proportional to 4,275.72, 5,861.97 and 4,197.96

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Solution

The fourth proportional to 4,275.72, 5,861.97 and 4,197.96 is: 5,755.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275.72 : 5,861.97 = 4,197.96 : x
  2. Step 2: Convert to fraction form
    4,275.72/5,861.97 = 4,197.96/x
  3. Step 3: Cross multiply
    4,275.72x = 5,861.97 × 4,197.96
  4. Step 4: Simplify right side
    4,275.72x = 24,608,315.58
  5. Step 5: Solve for x
    x = 24,608,315.58/4,275.72
  6. Step 6: Final answer
    x = 5,755.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.