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Finding the Fourth Proportional to 5,209.56, 7,811.98 and 2,246.60

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Solution

The fourth proportional to 5,209.56, 7,811.98 and 2,246.60 is: 3,368.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.56 : 7,811.98 = 2,246.60 : x
  2. Step 2: Convert to fraction form
    5,209.56/7,811.98 = 2,246.60/x
  3. Step 3: Cross multiply
    5,209.56x = 7,811.98 × 2,246.60
  4. Step 4: Simplify right side
    5,209.56x = 17,550,395.20
  5. Step 5: Solve for x
    x = 17,550,395.20/5,209.56
  6. Step 6: Final answer
    x = 3,368.88

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