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Finding the Fourth Proportional to 3,634.14, 5,447.57 and 3,196.74

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Solution

The fourth proportional to 3,634.14, 5,447.57 and 3,196.74 is: 4,791.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634.14 : 5,447.57 = 3,196.74 : x
  2. Step 2: Convert to fraction form
    3,634.14/5,447.57 = 3,196.74/x
  3. Step 3: Cross multiply
    3,634.14x = 5,447.57 × 3,196.74
  4. Step 4: Simplify right side
    3,634.14x = 17,414,448.94
  5. Step 5: Solve for x
    x = 17,414,448.94/3,634.14
  6. Step 6: Final answer
    x = 4,791.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.