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Finding the Fourth Proportional to 5,992.98, 8,270.57 and 3,340.38

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Solution

The fourth proportional to 5,992.98, 8,270.57 and 3,340.38 is: 4,609.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,992.98 : 8,270.57 = 3,340.38 : x
  2. Step 2: Convert to fraction form
    5,992.98/8,270.57 = 3,340.38/x
  3. Step 3: Cross multiply
    5,992.98x = 8,270.57 × 3,340.38
  4. Step 4: Simplify right side
    5,992.98x = 27,626,829.91
  5. Step 5: Solve for x
    x = 27,626,829.91/5,992.98
  6. Step 6: Final answer
    x = 4,609.87

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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.