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Finding the Fourth Proportional to 3,914.78, 5,872.14 and 1,606.28

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Solution

The fourth proportional to 3,914.78, 5,872.14 and 1,606.28 is: 2,409.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.78 : 5,872.14 = 1,606.28 : x
  2. Step 2: Convert to fraction form
    3,914.78/5,872.14 = 1,606.28/x
  3. Step 3: Cross multiply
    3,914.78x = 5,872.14 × 1,606.28
  4. Step 4: Simplify right side
    3,914.78x = 9,432,301.04
  5. Step 5: Solve for x
    x = 9,432,301.04/3,914.78
  6. Step 6: Final answer
    x = 2,409.41

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