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Finding the Fourth Proportional to 5,238.86, 7,852.80 and 1,949.90

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Solution

The fourth proportional to 5,238.86, 7,852.80 and 1,949.90 is: 2,922.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.86 : 7,852.80 = 1,949.90 : x
  2. Step 2: Convert to fraction form
    5,238.86/7,852.80 = 1,949.90/x
  3. Step 3: Cross multiply
    5,238.86x = 7,852.80 × 1,949.90
  4. Step 4: Simplify right side
    5,238.86x = 15,312,174.72
  5. Step 5: Solve for x
    x = 15,312,174.72/5,238.86
  6. Step 6: Final answer
    x = 2,922.81

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