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Finding the Fourth Proportional to 3,866.80, 5,796.60 and 2,696.80

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Solution

The fourth proportional to 3,866.80, 5,796.60 and 2,696.80 is: 4,042.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.80 : 5,796.60 = 2,696.80 : x
  2. Step 2: Convert to fraction form
    3,866.80/5,796.60 = 2,696.80/x
  3. Step 3: Cross multiply
    3,866.80x = 5,796.60 × 2,696.80
  4. Step 4: Simplify right side
    3,866.80x = 15,632,270.88
  5. Step 5: Solve for x
    x = 15,632,270.88/3,866.80
  6. Step 6: Final answer
    x = 4,042.69

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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.