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Finding the Fourth Proportional to 5,237.16, 7,852.86 and 1,949.64

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Solution

The fourth proportional to 5,237.16, 7,852.86 and 1,949.64 is: 2,923.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,237.16 : 7,852.86 = 1,949.64 : x
  2. Step 2: Convert to fraction form
    5,237.16/7,852.86 = 1,949.64/x
  3. Step 3: Cross multiply
    5,237.16x = 7,852.86 × 1,949.64
  4. Step 4: Simplify right side
    5,237.16x = 15,310,249.97
  5. Step 5: Solve for x
    x = 15,310,249.97/5,237.16
  6. Step 6: Final answer
    x = 2,923.39

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