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Finding the Fourth Proportional to 3,426.56, 5,146.80 and 3,024.80

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Solution

The fourth proportional to 3,426.56, 5,146.80 and 3,024.80 is: 4,543.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426.56 : 5,146.80 = 3,024.80 : x
  2. Step 2: Convert to fraction form
    3,426.56/5,146.80 = 3,024.80/x
  3. Step 3: Cross multiply
    3,426.56x = 5,146.80 × 3,024.80
  4. Step 4: Simplify right side
    3,426.56x = 15,568,040.64
  5. Step 5: Solve for x
    x = 15,568,040.64/3,426.56
  6. Step 6: Final answer
    x = 4,543.34

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