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Finding the Fourth Proportional to 3,634.99, 5,016.13 and 2,142.97

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Solution

The fourth proportional to 3,634.99, 5,016.13 and 2,142.97 is: 2,957.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634.99 : 5,016.13 = 2,142.97 : x
  2. Step 2: Convert to fraction form
    3,634.99/5,016.13 = 2,142.97/x
  3. Step 3: Cross multiply
    3,634.99x = 5,016.13 × 2,142.97
  4. Step 4: Simplify right side
    3,634.99x = 10,749,416.11
  5. Step 5: Solve for x
    x = 10,749,416.11/3,634.99
  6. Step 6: Final answer
    x = 2,957.21

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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.