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Finding the Fourth Proportional to 3,765.82, 5,646.81 and 1,266.14

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Solution

The fourth proportional to 3,765.82, 5,646.81 and 1,266.14 is: 1,898.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.82 : 5,646.81 = 1,266.14 : x
  2. Step 2: Convert to fraction form
    3,765.82/5,646.81 = 1,266.14/x
  3. Step 3: Cross multiply
    3,765.82x = 5,646.81 × 1,266.14
  4. Step 4: Simplify right side
    3,765.82x = 7,149,652.01
  5. Step 5: Solve for x
    x = 7,149,652.01/3,765.82
  6. Step 6: Final answer
    x = 1,898.56

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