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Finding the Fourth Proportional to 3,488.66, 5,232.73 and 1,640.20

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Solution

The fourth proportional to 3,488.66, 5,232.73 and 1,640.20 is: 2,460.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.66 : 5,232.73 = 1,640.20 : x
  2. Step 2: Convert to fraction form
    3,488.66/5,232.73 = 1,640.20/x
  3. Step 3: Cross multiply
    3,488.66x = 5,232.73 × 1,640.20
  4. Step 4: Simplify right side
    3,488.66x = 8,582,723.75
  5. Step 5: Solve for x
    x = 8,582,723.75/3,488.66
  6. Step 6: Final answer
    x = 2,460.18

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