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Finding the Fourth Proportional to 3,823.20, 5,734.80 and 3,798.90

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Solution

The fourth proportional to 3,823.20, 5,734.80 and 3,798.90 is: 5,698.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.20 : 5,734.80 = 3,798.90 : x
  2. Step 2: Convert to fraction form
    3,823.20/5,734.80 = 3,798.90/x
  3. Step 3: Cross multiply
    3,823.20x = 5,734.80 × 3,798.90
  4. Step 4: Simplify right side
    3,823.20x = 21,785,931.72
  5. Step 5: Solve for x
    x = 21,785,931.72/3,823.20
  6. Step 6: Final answer
    x = 5,698.35

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