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Finding the Fourth Proportional to 5,296.35, 7,942.78 and 1,785.41

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Solution

The fourth proportional to 5,296.35, 7,942.78 and 1,785.41 is: 2,677.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.35 : 7,942.78 = 1,785.41 : x
  2. Step 2: Convert to fraction form
    5,296.35/7,942.78 = 1,785.41/x
  3. Step 3: Cross multiply
    5,296.35x = 7,942.78 × 1,785.41
  4. Step 4: Simplify right side
    5,296.35x = 14,181,109.91
  5. Step 5: Solve for x
    x = 14,181,109.91/5,296.35
  6. Step 6: Final answer
    x = 2,677.53

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