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Finding the Fourth Proportional to 6,299.36, 8,692.20 and 3,780.94

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Solution

The fourth proportional to 6,299.36, 8,692.20 and 3,780.94 is: 5,217.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.36 : 8,692.20 = 3,780.94 : x
  2. Step 2: Convert to fraction form
    6,299.36/8,692.20 = 3,780.94/x
  3. Step 3: Cross multiply
    6,299.36x = 8,692.20 × 3,780.94
  4. Step 4: Simplify right side
    6,299.36x = 32,864,624.30
  5. Step 5: Solve for x
    x = 32,864,624.30/6,299.36
  6. Step 6: Final answer
    x = 5,217.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.