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Finding the Fourth Proportional to 3,634.52, 5,015.04 and 2,142.24

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Solution

The fourth proportional to 3,634.52, 5,015.04 and 2,142.24 is: 2,955.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634.52 : 5,015.04 = 2,142.24 : x
  2. Step 2: Convert to fraction form
    3,634.52/5,015.04 = 2,142.24/x
  3. Step 3: Cross multiply
    3,634.52x = 5,015.04 × 2,142.24
  4. Step 4: Simplify right side
    3,634.52x = 10,743,419.29
  5. Step 5: Solve for x
    x = 10,743,419.29/3,634.52
  6. Step 6: Final answer
    x = 2,955.94

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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.