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Finding the Fourth Proportional to 3,819.69, 5,692.03 and 3,694.28

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Solution

The fourth proportional to 3,819.69, 5,692.03 and 3,694.28 is: 5,505.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,819.69 : 5,692.03 = 3,694.28 : x
  2. Step 2: Convert to fraction form
    3,819.69/5,692.03 = 3,694.28/x
  3. Step 3: Cross multiply
    3,819.69x = 5,692.03 × 3,694.28
  4. Step 4: Simplify right side
    3,819.69x = 21,027,914.89
  5. Step 5: Solve for x
    x = 21,027,914.89/3,819.69
  6. Step 6: Final answer
    x = 5,505.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.