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Finding the Fourth Proportional to 3,634.82, 5,016 and 2,041.48

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Solution

The fourth proportional to 3,634.82, 5,016 and 2,041.48 is: 2,817.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634.82 : 5,016 = 2,041.48 : x
  2. Step 2: Convert to fraction form
    3,634.82/5,016 = 2,041.48/x
  3. Step 3: Cross multiply
    3,634.82x = 5,016 × 2,041.48
  4. Step 4: Simplify right side
    3,634.82x = 10,240,063.68
  5. Step 5: Solve for x
    x = 10,240,063.68/3,634.82
  6. Step 6: Final answer
    x = 2,817.21

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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.