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Finding the Fourth Proportional to 3,958.30, 5,462.22 and 2,189.80

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Solution

The fourth proportional to 3,958.30, 5,462.22 and 2,189.80 is: 3,021.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,958.30 : 5,462.22 = 2,189.80 : x
  2. Step 2: Convert to fraction form
    3,958.30/5,462.22 = 2,189.80/x
  3. Step 3: Cross multiply
    3,958.30x = 5,462.22 × 2,189.80
  4. Step 4: Simplify right side
    3,958.30x = 11,961,169.36
  5. Step 5: Solve for x
    x = 11,961,169.36/3,958.30
  6. Step 6: Final answer
    x = 3,021.79

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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.