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Finding the Fourth Proportional to 5,750.27, 7,935.24 and 3,197.86

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Solution

The fourth proportional to 5,750.27, 7,935.24 and 3,197.86 is: 4,412.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,750.27 : 7,935.24 = 3,197.86 : x
  2. Step 2: Convert to fraction form
    5,750.27/7,935.24 = 3,197.86/x
  3. Step 3: Cross multiply
    5,750.27x = 7,935.24 × 3,197.86
  4. Step 4: Simplify right side
    5,750.27x = 25,375,746.91
  5. Step 5: Solve for x
    x = 25,375,746.91/5,750.27
  6. Step 6: Final answer
    x = 4,412.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.