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Finding the Fourth Proportional to 5,936.22, 8,183.43 and 4,162.32

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Solution

The fourth proportional to 5,936.22, 8,183.43 and 4,162.32 is: 5,738.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,936.22 : 8,183.43 = 4,162.32 : x
  2. Step 2: Convert to fraction form
    5,936.22/8,183.43 = 4,162.32/x
  3. Step 3: Cross multiply
    5,936.22x = 8,183.43 × 4,162.32
  4. Step 4: Simplify right side
    5,936.22x = 34,062,054.36
  5. Step 5: Solve for x
    x = 34,062,054.36/5,936.22
  6. Step 6: Final answer
    x = 5,738.00

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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.