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Finding the Fourth Proportional to 3,837.80, 5,752.56 and 1,859.24

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Solution

The fourth proportional to 3,837.80, 5,752.56 and 1,859.24 is: 2,786.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837.80 : 5,752.56 = 1,859.24 : x
  2. Step 2: Convert to fraction form
    3,837.80/5,752.56 = 1,859.24/x
  3. Step 3: Cross multiply
    3,837.80x = 5,752.56 × 1,859.24
  4. Step 4: Simplify right side
    3,837.80x = 10,695,360.89
  5. Step 5: Solve for x
    x = 10,695,360.89/3,837.80
  6. Step 6: Final answer
    x = 2,786.85

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