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Finding the Fourth Proportional to 3,769.54, 5,202.00 and 2,090.96

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Solution

The fourth proportional to 3,769.54, 5,202.00 and 2,090.96 is: 2,885.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.54 : 5,202.00 = 2,090.96 : x
  2. Step 2: Convert to fraction form
    3,769.54/5,202.00 = 2,090.96/x
  3. Step 3: Cross multiply
    3,769.54x = 5,202.00 × 2,090.96
  4. Step 4: Simplify right side
    3,769.54x = 10,877,190.80
  5. Step 5: Solve for x
    x = 10,877,190.80/3,769.54
  6. Step 6: Final answer
    x = 2,885.55

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