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Finding the Fourth Proportional to 3,867.75, 5,337.42 and 2,189.48

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Solution

The fourth proportional to 3,867.75, 5,337.42 and 2,189.48 is: 3,021.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.75 : 5,337.42 = 2,189.48 : x
  2. Step 2: Convert to fraction form
    3,867.75/5,337.42 = 2,189.48/x
  3. Step 3: Cross multiply
    3,867.75x = 5,337.42 × 2,189.48
  4. Step 4: Simplify right side
    3,867.75x = 11,686,147.65
  5. Step 5: Solve for x
    x = 11,686,147.65/3,867.75
  6. Step 6: Final answer
    x = 3,021.43

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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.