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Finding the Fourth Proportional to 3,760.91, 5,190.05 and 2,189

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Solution

The fourth proportional to 3,760.91, 5,190.05 and 2,189 is: 3,020.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.91 : 5,190.05 = 2,189 : x
  2. Step 2: Convert to fraction form
    3,760.91/5,190.05 = 2,189/x
  3. Step 3: Cross multiply
    3,760.91x = 5,190.05 × 2,189
  4. Step 4: Simplify right side
    3,760.91x = 11,361,019.45
  5. Step 5: Solve for x
    x = 11,361,019.45/3,760.91
  6. Step 6: Final answer
    x = 3,020.82

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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.