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Finding the Fourth Proportional to 3,716.82, 5,129.46 and 2,144.88

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Solution

The fourth proportional to 3,716.82, 5,129.46 and 2,144.88 is: 2,960.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,716.82 : 5,129.46 = 2,144.88 : x
  2. Step 2: Convert to fraction form
    3,716.82/5,129.46 = 2,144.88/x
  3. Step 3: Cross multiply
    3,716.82x = 5,129.46 × 2,144.88
  4. Step 4: Simplify right side
    3,716.82x = 11,002,076.16
  5. Step 5: Solve for x
    x = 11,002,076.16/3,716.82
  6. Step 6: Final answer
    x = 2,960.08

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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.