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Finding the Fourth Proportional to 3,742.84, 5,165.60 and 3,112.28

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Solution

The fourth proportional to 3,742.84, 5,165.60 and 3,112.28 is: 4,295.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.84 : 5,165.60 = 3,112.28 : x
  2. Step 2: Convert to fraction form
    3,742.84/5,165.60 = 3,112.28/x
  3. Step 3: Cross multiply
    3,742.84x = 5,165.60 × 3,112.28
  4. Step 4: Simplify right side
    3,742.84x = 16,076,802.59
  5. Step 5: Solve for x
    x = 16,076,802.59/3,742.84
  6. Step 6: Final answer
    x = 4,295.35

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