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Finding the Fourth Proportional to 3,794.90, 5,692.88 and 1,329.13

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Solution

The fourth proportional to 3,794.90, 5,692.88 and 1,329.13 is: 1,993.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.90 : 5,692.88 = 1,329.13 : x
  2. Step 2: Convert to fraction form
    3,794.90/5,692.88 = 1,329.13/x
  3. Step 3: Cross multiply
    3,794.90x = 5,692.88 × 1,329.13
  4. Step 4: Simplify right side
    3,794.90x = 7,566,604.04
  5. Step 5: Solve for x
    x = 7,566,604.04/3,794.90
  6. Step 6: Final answer
    x = 1,993.89

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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.