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Finding the Fourth Proportional to 3,809.74, 5,257.17 and 2,131.06

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Solution

The fourth proportional to 3,809.74, 5,257.17 and 2,131.06 is: 2,940.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.74 : 5,257.17 = 2,131.06 : x
  2. Step 2: Convert to fraction form
    3,809.74/5,257.17 = 2,131.06/x
  3. Step 3: Cross multiply
    3,809.74x = 5,257.17 × 2,131.06
  4. Step 4: Simplify right side
    3,809.74x = 11,203,344.70
  5. Step 5: Solve for x
    x = 11,203,344.70/3,809.74
  6. Step 6: Final answer
    x = 2,940.71

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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.