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Finding the Fourth Proportional to 3,633.70, 5,452.94 and 1,991.40

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Solution

The fourth proportional to 3,633.70, 5,452.94 and 1,991.40 is: 2,988.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.70 : 5,452.94 = 1,991.40 : x
  2. Step 2: Convert to fraction form
    3,633.70/5,452.94 = 1,991.40/x
  3. Step 3: Cross multiply
    3,633.70x = 5,452.94 × 1,991.40
  4. Step 4: Simplify right side
    3,633.70x = 10,858,984.72
  5. Step 5: Solve for x
    x = 10,858,984.72/3,633.70
  6. Step 6: Final answer
    x = 2,988.41

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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.