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Finding the Fourth Proportional to 3,761.88, 5,191.29 and 2,189.94

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Solution

The fourth proportional to 3,761.88, 5,191.29 and 2,189.94 is: 3,022.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.88 : 5,191.29 = 2,189.94 : x
  2. Step 2: Convert to fraction form
    3,761.88/5,191.29 = 2,189.94/x
  3. Step 3: Cross multiply
    3,761.88x = 5,191.29 × 2,189.94
  4. Step 4: Simplify right side
    3,761.88x = 11,368,613.62
  5. Step 5: Solve for x
    x = 11,368,613.62/3,761.88
  6. Step 6: Final answer
    x = 3,022.06

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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.