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Finding the Fourth Proportional to 3,793.29, 5,692.09 and 1,329.94

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Solution

The fourth proportional to 3,793.29, 5,692.09 and 1,329.94 is: 1,995.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.29 : 5,692.09 = 1,329.94 : x
  2. Step 2: Convert to fraction form
    3,793.29/5,692.09 = 1,329.94/x
  3. Step 3: Cross multiply
    3,793.29x = 5,692.09 × 1,329.94
  4. Step 4: Simplify right side
    3,793.29x = 7,570,138.17
  5. Step 5: Solve for x
    x = 7,570,138.17/3,793.29
  6. Step 6: Final answer
    x = 1,995.67

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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.