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Finding the Fourth Proportional to 5,942.67, 8,207.37 and 3,961.65

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Solution

The fourth proportional to 5,942.67, 8,207.37 and 3,961.65 is: 5,471.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.67 : 8,207.37 = 3,961.65 : x
  2. Step 2: Convert to fraction form
    5,942.67/8,207.37 = 3,961.65/x
  3. Step 3: Cross multiply
    5,942.67x = 8,207.37 × 3,961.65
  4. Step 4: Simplify right side
    5,942.67x = 32,514,727.36
  5. Step 5: Solve for x
    x = 32,514,727.36/5,942.67
  6. Step 6: Final answer
    x = 5,471.40

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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.