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Finding the Fourth Proportional to 3,865.68, 5,790.78 and 1,782.83

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Solution

The fourth proportional to 3,865.68, 5,790.78 and 1,782.83 is: 2,670.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.68 : 5,790.78 = 1,782.83 : x
  2. Step 2: Convert to fraction form
    3,865.68/5,790.78 = 1,782.83/x
  3. Step 3: Cross multiply
    3,865.68x = 5,790.78 × 1,782.83
  4. Step 4: Simplify right side
    3,865.68x = 10,323,990.78
  5. Step 5: Solve for x
    x = 10,323,990.78/3,865.68
  6. Step 6: Final answer
    x = 2,670.68

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