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Finding the Fourth Proportional to 3,742.64, 5,613.40 and 1,796.16

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Solution

The fourth proportional to 3,742.64, 5,613.40 and 1,796.16 is: 2,693.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.64 : 5,613.40 = 1,796.16 : x
  2. Step 2: Convert to fraction form
    3,742.64/5,613.40 = 1,796.16/x
  3. Step 3: Cross multiply
    3,742.64x = 5,613.40 × 1,796.16
  4. Step 4: Simplify right side
    3,742.64x = 10,082,564.54
  5. Step 5: Solve for x
    x = 10,082,564.54/3,742.64
  6. Step 6: Final answer
    x = 2,693.97

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