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Finding the Fourth Proportional to 5,927.91, 8,174.38 and 5,091.38

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Solution

The fourth proportional to 5,927.91, 8,174.38 and 5,091.38 is: 7,020.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,927.91 : 8,174.38 = 5,091.38 : x
  2. Step 2: Convert to fraction form
    5,927.91/8,174.38 = 5,091.38/x
  3. Step 3: Cross multiply
    5,927.91x = 8,174.38 × 5,091.38
  4. Step 4: Simplify right side
    5,927.91x = 41,618,849.39
  5. Step 5: Solve for x
    x = 41,618,849.39/5,927.91
  6. Step 6: Final answer
    x = 7,020.83

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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.