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Finding the Fourth Proportional to 3,633.84, 5,450.05 and 3,021.48

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Solution

The fourth proportional to 3,633.84, 5,450.05 and 3,021.48 is: 4,531.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.84 : 5,450.05 = 3,021.48 : x
  2. Step 2: Convert to fraction form
    3,633.84/5,450.05 = 3,021.48/x
  3. Step 3: Cross multiply
    3,633.84x = 5,450.05 × 3,021.48
  4. Step 4: Simplify right side
    3,633.84x = 16,467,217.07
  5. Step 5: Solve for x
    x = 16,467,217.07/3,633.84
  6. Step 6: Final answer
    x = 4,531.63

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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.