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Finding the Fourth Proportional to 5,939.52, 8,196.84 and 3,287.22

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Solution

The fourth proportional to 5,939.52, 8,196.84 and 3,287.22 is: 4,536.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,939.52 : 8,196.84 = 3,287.22 : x
  2. Step 2: Convert to fraction form
    5,939.52/8,196.84 = 3,287.22/x
  3. Step 3: Cross multiply
    5,939.52x = 8,196.84 × 3,287.22
  4. Step 4: Simplify right side
    5,939.52x = 26,944,816.38
  5. Step 5: Solve for x
    x = 26,944,816.38/5,939.52
  6. Step 6: Final answer
    x = 4,536.53

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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.