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Finding the Fourth Proportional to 3,546.78, 5,320.02 and 1,699.20

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Solution

The fourth proportional to 3,546.78, 5,320.02 and 1,699.20 is: 2,548.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.78 : 5,320.02 = 1,699.20 : x
  2. Step 2: Convert to fraction form
    3,546.78/5,320.02 = 1,699.20/x
  3. Step 3: Cross multiply
    3,546.78x = 5,320.02 × 1,699.20
  4. Step 4: Simplify right side
    3,546.78x = 9,039,777.98
  5. Step 5: Solve for x
    x = 9,039,777.98/3,546.78
  6. Step 6: Final answer
    x = 2,548.73

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