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Finding the Fourth Proportional to 3,794.52, 5,692.89 and 1,329.54

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Solution

The fourth proportional to 3,794.52, 5,692.89 and 1,329.54 is: 1,994.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.52 : 5,692.89 = 1,329.54 : x
  2. Step 2: Convert to fraction form
    3,794.52/5,692.89 = 1,329.54/x
  3. Step 3: Cross multiply
    3,794.52x = 5,692.89 × 1,329.54
  4. Step 4: Simplify right side
    3,794.52x = 7,568,924.97
  5. Step 5: Solve for x
    x = 7,568,924.97/3,794.52
  6. Step 6: Final answer
    x = 1,994.70

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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.