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Finding the Fourth Proportional to 3,856.08, 5,783.76 and 1,664.40

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Solution

The fourth proportional to 3,856.08, 5,783.76 and 1,664.40 is: 2,496.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.08 : 5,783.76 = 1,664.40 : x
  2. Step 2: Convert to fraction form
    3,856.08/5,783.76 = 1,664.40/x
  3. Step 3: Cross multiply
    3,856.08x = 5,783.76 × 1,664.40
  4. Step 4: Simplify right side
    3,856.08x = 9,626,490.14
  5. Step 5: Solve for x
    x = 9,626,490.14/3,856.08
  6. Step 6: Final answer
    x = 2,496.44

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