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Finding the Fourth Proportional to 3,809.70, 5,257.35 and 2,131.09

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Solution

The fourth proportional to 3,809.70, 5,257.35 and 2,131.09 is: 2,940.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.70 : 5,257.35 = 2,131.09 : x
  2. Step 2: Convert to fraction form
    3,809.70/5,257.35 = 2,131.09/x
  3. Step 3: Cross multiply
    3,809.70x = 5,257.35 × 2,131.09
  4. Step 4: Simplify right side
    3,809.70x = 11,203,872.87
  5. Step 5: Solve for x
    x = 11,203,872.87/3,809.70
  6. Step 6: Final answer
    x = 2,940.88

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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.