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Finding the Fourth Proportional to 3,504.64, 5,256.60 and 1,164.80

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Solution

The fourth proportional to 3,504.64, 5,256.60 and 1,164.80 is: 1,747.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,504.64 : 5,256.60 = 1,164.80 : x
  2. Step 2: Convert to fraction form
    3,504.64/5,256.60 = 1,164.80/x
  3. Step 3: Cross multiply
    3,504.64x = 5,256.60 × 1,164.80
  4. Step 4: Simplify right side
    3,504.64x = 6,122,887.68
  5. Step 5: Solve for x
    x = 6,122,887.68/3,504.64
  6. Step 6: Final answer
    x = 1,747.08

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