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Finding the Fourth Proportional to 5,767.70, 8,651.97 and 2,069.96

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Solution

The fourth proportional to 5,767.70, 8,651.97 and 2,069.96 is: 3,105.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.70 : 8,651.97 = 2,069.96 : x
  2. Step 2: Convert to fraction form
    5,767.70/8,651.97 = 2,069.96/x
  3. Step 3: Cross multiply
    5,767.70x = 8,651.97 × 2,069.96
  4. Step 4: Simplify right side
    5,767.70x = 17,909,221.01
  5. Step 5: Solve for x
    x = 17,909,221.01/5,767.70
  6. Step 6: Final answer
    x = 3,105.09

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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.