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Finding the Fourth Proportional to 3,856.06, 5,785.64 and 2,296.80

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Solution

The fourth proportional to 3,856.06, 5,785.64 and 2,296.80 is: 3,446.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.06 : 5,785.64 = 2,296.80 : x
  2. Step 2: Convert to fraction form
    3,856.06/5,785.64 = 2,296.80/x
  3. Step 3: Cross multiply
    3,856.06x = 5,785.64 × 2,296.80
  4. Step 4: Simplify right side
    3,856.06x = 13,288,457.95
  5. Step 5: Solve for x
    x = 13,288,457.95/3,856.06
  6. Step 6: Final answer
    x = 3,446.12

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