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Finding the Fourth Proportional to 5,764.00, 8,646.75 and 2,066.64

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Solution

The fourth proportional to 5,764.00, 8,646.75 and 2,066.64 is: 3,100.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.00 : 8,646.75 = 2,066.64 : x
  2. Step 2: Convert to fraction form
    5,764.00/8,646.75 = 2,066.64/x
  3. Step 3: Cross multiply
    5,764.00x = 8,646.75 × 2,066.64
  4. Step 4: Simplify right side
    5,764.00x = 17,869,719.42
  5. Step 5: Solve for x
    x = 17,869,719.42/5,764.00
  6. Step 6: Final answer
    x = 3,100.23

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