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Finding the Fourth Proportional to 3,837.60, 5,756.40 and 3,808.80

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Solution

The fourth proportional to 3,837.60, 5,756.40 and 3,808.80 is: 5,713.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837.60 : 5,756.40 = 3,808.80 : x
  2. Step 2: Convert to fraction form
    3,837.60/5,756.40 = 3,808.80/x
  3. Step 3: Cross multiply
    3,837.60x = 5,756.40 × 3,808.80
  4. Step 4: Simplify right side
    3,837.60x = 21,924,976.32
  5. Step 5: Solve for x
    x = 21,924,976.32/3,837.60
  6. Step 6: Final answer
    x = 5,713.20

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