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Finding the Fourth Proportional to 3,827.28, 5,742 and 2,368.20

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Solution

The fourth proportional to 3,827.28, 5,742 and 2,368.20 is: 3,552.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.28 : 5,742 = 2,368.20 : x
  2. Step 2: Convert to fraction form
    3,827.28/5,742 = 2,368.20/x
  3. Step 3: Cross multiply
    3,827.28x = 5,742 × 2,368.20
  4. Step 4: Simplify right side
    3,827.28x = 13,598,204.40
  5. Step 5: Solve for x
    x = 13,598,204.40/3,827.28
  6. Step 6: Final answer
    x = 3,552.97

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