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Finding the Fourth Proportional to 3,633.99, 5,450.98 and 1,169.02

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Solution

The fourth proportional to 3,633.99, 5,450.98 and 1,169.02 is: 1,753.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.99 : 5,450.98 = 1,169.02 : x
  2. Step 2: Convert to fraction form
    3,633.99/5,450.98 = 1,169.02/x
  3. Step 3: Cross multiply
    3,633.99x = 5,450.98 × 1,169.02
  4. Step 4: Simplify right side
    3,633.99x = 6,372,304.64
  5. Step 5: Solve for x
    x = 6,372,304.64/3,633.99
  6. Step 6: Final answer
    x = 1,753.53

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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.