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Finding the Fourth Proportional to 3,633.84, 5,452.92 and 1,990.08

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Solution

The fourth proportional to 3,633.84, 5,452.92 and 1,990.08 is: 2,986.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.84 : 5,452.92 = 1,990.08 : x
  2. Step 2: Convert to fraction form
    3,633.84/5,452.92 = 1,990.08/x
  3. Step 3: Cross multiply
    3,633.84x = 5,452.92 × 1,990.08
  4. Step 4: Simplify right side
    3,633.84x = 10,851,747.03
  5. Step 5: Solve for x
    x = 10,851,747.03/3,633.84
  6. Step 6: Final answer
    x = 2,986.30

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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.