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Finding the Fourth Proportional to 3,634.68, 5,016.14 and 2,062.84

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Solution

The fourth proportional to 3,634.68, 5,016.14 and 2,062.84 is: 2,846.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634.68 : 5,016.14 = 2,062.84 : x
  2. Step 2: Convert to fraction form
    3,634.68/5,016.14 = 2,062.84/x
  3. Step 3: Cross multiply
    3,634.68x = 5,016.14 × 2,062.84
  4. Step 4: Simplify right side
    3,634.68x = 10,347,494.24
  5. Step 5: Solve for x
    x = 10,347,494.24/3,634.68
  6. Step 6: Final answer
    x = 2,846.88

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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.