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Finding the Fourth Proportional to 3,835.60, 5,753.40 and 2,280.40

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Solution

The fourth proportional to 3,835.60, 5,753.40 and 2,280.40 is: 3,420.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.60 : 5,753.40 = 2,280.40 : x
  2. Step 2: Convert to fraction form
    3,835.60/5,753.40 = 2,280.40/x
  3. Step 3: Cross multiply
    3,835.60x = 5,753.40 × 2,280.40
  4. Step 4: Simplify right side
    3,835.60x = 13,120,053.36
  5. Step 5: Solve for x
    x = 13,120,053.36/3,835.60
  6. Step 6: Final answer
    x = 3,420.60

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