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Finding the Fourth Proportional to 3,976.92, 5,997.23 and 3,922.23

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Solution

The fourth proportional to 3,976.92, 5,997.23 and 3,922.23 is: 5,914.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.92 : 5,997.23 = 3,922.23 : x
  2. Step 2: Convert to fraction form
    3,976.92/5,997.23 = 3,922.23/x
  3. Step 3: Cross multiply
    3,976.92x = 5,997.23 × 3,922.23
  4. Step 4: Simplify right side
    3,976.92x = 23,522,495.81
  5. Step 5: Solve for x
    x = 23,522,495.81/3,976.92
  6. Step 6: Final answer
    x = 5,914.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.