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Finding the Fourth Proportional to 3,109.92, 4,664.40 and 918.24

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Solution

The fourth proportional to 3,109.92, 4,664.40 and 918.24 is: 1,377.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.92 : 4,664.40 = 918.24 : x
  2. Step 2: Convert to fraction form
    3,109.92/4,664.40 = 918.24/x
  3. Step 3: Cross multiply
    3,109.92x = 4,664.40 × 918.24
  4. Step 4: Simplify right side
    3,109.92x = 4,283,038.66
  5. Step 5: Solve for x
    x = 4,283,038.66/3,109.92
  6. Step 6: Final answer
    x = 1,377.22

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