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Finding the Fourth Proportional to 3,765.56, 5,640.64 and 1,761.38

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Solution

The fourth proportional to 3,765.56, 5,640.64 and 1,761.38 is: 2,638.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.56 : 5,640.64 = 1,761.38 : x
  2. Step 2: Convert to fraction form
    3,765.56/5,640.64 = 1,761.38/x
  3. Step 3: Cross multiply
    3,765.56x = 5,640.64 × 1,761.38
  4. Step 4: Simplify right side
    3,765.56x = 9,935,273.47
  5. Step 5: Solve for x
    x = 9,935,273.47/3,765.56
  6. Step 6: Final answer
    x = 2,638.46

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