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Finding the Fourth Proportional to 3,759.89, 5,188.46 and 2,081.34

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Solution

The fourth proportional to 3,759.89, 5,188.46 and 2,081.34 is: 2,872.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.89 : 5,188.46 = 2,081.34 : x
  2. Step 2: Convert to fraction form
    3,759.89/5,188.46 = 2,081.34/x
  3. Step 3: Cross multiply
    3,759.89x = 5,188.46 × 2,081.34
  4. Step 4: Simplify right side
    3,759.89x = 10,798,938.93
  5. Step 5: Solve for x
    x = 10,798,938.93/3,759.89
  6. Step 6: Final answer
    x = 2,872.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.