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Finding the Fourth Proportional to 3,867.68, 5,337.13 and 2,189.05

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Solution

The fourth proportional to 3,867.68, 5,337.13 and 2,189.05 is: 3,020.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.68 : 5,337.13 = 2,189.05 : x
  2. Step 2: Convert to fraction form
    3,867.68/5,337.13 = 2,189.05/x
  3. Step 3: Cross multiply
    3,867.68x = 5,337.13 × 2,189.05
  4. Step 4: Simplify right side
    3,867.68x = 11,683,206.80
  5. Step 5: Solve for x
    x = 11,683,206.80/3,867.68
  6. Step 6: Final answer
    x = 3,020.73

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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.