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Finding the Fourth Proportional to 5,958.27, 8,222.54 and 3,305.97

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Solution

The fourth proportional to 5,958.27, 8,222.54 and 3,305.97 is: 4,562.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,958.27 : 8,222.54 = 3,305.97 : x
  2. Step 2: Convert to fraction form
    5,958.27/8,222.54 = 3,305.97/x
  3. Step 3: Cross multiply
    5,958.27x = 8,222.54 × 3,305.97
  4. Step 4: Simplify right side
    5,958.27x = 27,183,454.03
  5. Step 5: Solve for x
    x = 27,183,454.03/5,958.27
  6. Step 6: Final answer
    x = 4,562.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.