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Finding the Fourth Proportional to 3,633.84, 5,451 and 1,759.14

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Solution

The fourth proportional to 3,633.84, 5,451 and 1,759.14 is: 2,638.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.84 : 5,451 = 1,759.14 : x
  2. Step 2: Convert to fraction form
    3,633.84/5,451 = 1,759.14/x
  3. Step 3: Cross multiply
    3,633.84x = 5,451 × 1,759.14
  4. Step 4: Simplify right side
    3,633.84x = 9,589,072.14
  5. Step 5: Solve for x
    x = 9,589,072.14/3,633.84
  6. Step 6: Final answer
    x = 2,638.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.