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Finding the Fourth Proportional to 3,838.22, 5,752.70 and 1,642.30

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Solution

The fourth proportional to 3,838.22, 5,752.70 and 1,642.30 is: 2,461.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.22 : 5,752.70 = 1,642.30 : x
  2. Step 2: Convert to fraction form
    3,838.22/5,752.70 = 1,642.30/x
  3. Step 3: Cross multiply
    3,838.22x = 5,752.70 × 1,642.30
  4. Step 4: Simplify right side
    3,838.22x = 9,447,659.21
  5. Step 5: Solve for x
    x = 9,447,659.21/3,838.22
  6. Step 6: Final answer
    x = 2,461.47

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