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Finding the Fourth Proportional to 5,958.27, 8,222.13 and 3,305.88

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Solution

The fourth proportional to 5,958.27, 8,222.13 and 3,305.88 is: 4,561.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,958.27 : 8,222.13 = 3,305.88 : x
  2. Step 2: Convert to fraction form
    5,958.27/8,222.13 = 3,305.88/x
  3. Step 3: Cross multiply
    5,958.27x = 8,222.13 × 3,305.88
  4. Step 4: Simplify right side
    5,958.27x = 27,181,375.12
  5. Step 5: Solve for x
    x = 27,181,375.12/5,958.27
  6. Step 6: Final answer
    x = 4,561.96

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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.