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Finding the Fourth Proportional to 3,633.48, 5,450.99 and 2,074.23

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Solution

The fourth proportional to 3,633.48, 5,450.99 and 2,074.23 is: 3,111.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.48 : 5,450.99 = 2,074.23 : x
  2. Step 2: Convert to fraction form
    3,633.48/5,450.99 = 2,074.23/x
  3. Step 3: Cross multiply
    3,633.48x = 5,450.99 × 2,074.23
  4. Step 4: Simplify right side
    3,633.48x = 11,306,596.62
  5. Step 5: Solve for x
    x = 11,306,596.62/3,633.48
  6. Step 6: Final answer
    x = 3,111.78

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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.