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Finding the Fourth Proportional to 5,792.15, 7,992.60 and 3,433.97

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Solution

The fourth proportional to 5,792.15, 7,992.60 and 3,433.97 is: 4,738.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,792.15 : 7,992.60 = 3,433.97 : x
  2. Step 2: Convert to fraction form
    5,792.15/7,992.60 = 3,433.97/x
  3. Step 3: Cross multiply
    5,792.15x = 7,992.60 × 3,433.97
  4. Step 4: Simplify right side
    5,792.15x = 27,446,348.62
  5. Step 5: Solve for x
    x = 27,446,348.62/5,792.15
  6. Step 6: Final answer
    x = 4,738.54

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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.