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Finding the Fourth Proportional to 3,656.78, 5,485.87 and 1,902.62

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Solution

The fourth proportional to 3,656.78, 5,485.87 and 1,902.62 is: 2,854.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.78 : 5,485.87 = 1,902.62 : x
  2. Step 2: Convert to fraction form
    3,656.78/5,485.87 = 1,902.62/x
  3. Step 3: Cross multiply
    3,656.78x = 5,485.87 × 1,902.62
  4. Step 4: Simplify right side
    3,656.78x = 10,437,525.98
  5. Step 5: Solve for x
    x = 10,437,525.98/3,656.78
  6. Step 6: Final answer
    x = 2,854.29

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