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Finding the Fourth Proportional to 3,665.94, 5,496.84 and 1,584.64

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Solution

The fourth proportional to 3,665.94, 5,496.84 and 1,584.64 is: 2,376.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.94 : 5,496.84 = 1,584.64 : x
  2. Step 2: Convert to fraction form
    3,665.94/5,496.84 = 1,584.64/x
  3. Step 3: Cross multiply
    3,665.94x = 5,496.84 × 1,584.64
  4. Step 4: Simplify right side
    3,665.94x = 8,710,512.54
  5. Step 5: Solve for x
    x = 8,710,512.54/3,665.94
  6. Step 6: Final answer
    x = 2,376.07

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