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Finding the Fourth Proportional to 3,659.31, 5,049.84 and 1,980.75

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Solution

The fourth proportional to 3,659.31, 5,049.84 and 1,980.75 is: 2,733.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.31 : 5,049.84 = 1,980.75 : x
  2. Step 2: Convert to fraction form
    3,659.31/5,049.84 = 1,980.75/x
  3. Step 3: Cross multiply
    3,659.31x = 5,049.84 × 1,980.75
  4. Step 4: Simplify right side
    3,659.31x = 10,002,496.94
  5. Step 5: Solve for x
    x = 10,002,496.94/3,659.31
  6. Step 6: Final answer
    x = 2,733.43

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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.