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Finding the Fourth Proportional to 3,546.78, 5,320.13 and 1,597.60

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Solution

The fourth proportional to 3,546.78, 5,320.13 and 1,597.60 is: 2,396.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.78 : 5,320.13 = 1,597.60 : x
  2. Step 2: Convert to fraction form
    3,546.78/5,320.13 = 1,597.60/x
  3. Step 3: Cross multiply
    3,546.78x = 5,320.13 × 1,597.60
  4. Step 4: Simplify right side
    3,546.78x = 8,499,439.69
  5. Step 5: Solve for x
    x = 8,499,439.69/3,546.78
  6. Step 6: Final answer
    x = 2,396.38

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