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Finding the Fourth Proportional to 5,640.57, 7,786.67 and 3,755.30

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Solution

The fourth proportional to 5,640.57, 7,786.67 and 3,755.30 is: 5,184.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.57 : 7,786.67 = 3,755.30 : x
  2. Step 2: Convert to fraction form
    5,640.57/7,786.67 = 3,755.30/x
  3. Step 3: Cross multiply
    5,640.57x = 7,786.67 × 3,755.30
  4. Step 4: Simplify right side
    5,640.57x = 29,241,224.14
  5. Step 5: Solve for x
    x = 29,241,224.14/5,640.57
  6. Step 6: Final answer
    x = 5,184.09

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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.