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Finding the Fourth Proportional to 3,768.70, 5,665.20 and 2,680.60

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Solution

The fourth proportional to 3,768.70, 5,665.20 and 2,680.60 is: 4,029.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.70 : 5,665.20 = 2,680.60 : x
  2. Step 2: Convert to fraction form
    3,768.70/5,665.20 = 2,680.60/x
  3. Step 3: Cross multiply
    3,768.70x = 5,665.20 × 2,680.60
  4. Step 4: Simplify right side
    3,768.70x = 15,186,135.12
  5. Step 5: Solve for x
    x = 15,186,135.12/3,768.70
  6. Step 6: Final answer
    x = 4,029.54

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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.