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Finding the Fourth Proportional to 4,204.56, 6,305.79 and 1,740.06

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Solution

The fourth proportional to 4,204.56, 6,305.79 and 1,740.06 is: 2,609.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,204.56 : 6,305.79 = 1,740.06 : x
  2. Step 2: Convert to fraction form
    4,204.56/6,305.79 = 1,740.06/x
  3. Step 3: Cross multiply
    4,204.56x = 6,305.79 × 1,740.06
  4. Step 4: Simplify right side
    4,204.56x = 10,972,452.95
  5. Step 5: Solve for x
    x = 10,972,452.95/4,204.56
  6. Step 6: Final answer
    x = 2,609.66

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