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Finding the Fourth Proportional to 3,656.75, 5,485.73 and 1,464.28

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Solution

The fourth proportional to 3,656.75, 5,485.73 and 1,464.28 is: 2,196.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.75 : 5,485.73 = 1,464.28 : x
  2. Step 2: Convert to fraction form
    3,656.75/5,485.73 = 1,464.28/x
  3. Step 3: Cross multiply
    3,656.75x = 5,485.73 × 1,464.28
  4. Step 4: Simplify right side
    3,656.75x = 8,032,623.69
  5. Step 5: Solve for x
    x = 8,032,623.69/3,656.75
  6. Step 6: Final answer
    x = 2,196.66

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