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Finding the Fourth Proportional to 3,811.60, 5,724.44 and 2,282

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Solution

The fourth proportional to 3,811.60, 5,724.44 and 2,282 is: 3,427.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811.60 : 5,724.44 = 2,282 : x
  2. Step 2: Convert to fraction form
    3,811.60/5,724.44 = 2,282/x
  3. Step 3: Cross multiply
    3,811.60x = 5,724.44 × 2,282
  4. Step 4: Simplify right side
    3,811.60x = 13,063,172.08
  5. Step 5: Solve for x
    x = 13,063,172.08/3,811.60
  6. Step 6: Final answer
    x = 3,427.21

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