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Finding the Fourth Proportional to 3,178.16, 4,766.72 and 1,534.32

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Solution

The fourth proportional to 3,178.16, 4,766.72 and 1,534.32 is: 2,301.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.16 : 4,766.72 = 1,534.32 : x
  2. Step 2: Convert to fraction form
    3,178.16/4,766.72 = 1,534.32/x
  3. Step 3: Cross multiply
    3,178.16x = 4,766.72 × 1,534.32
  4. Step 4: Simplify right side
    3,178.16x = 7,313,673.83
  5. Step 5: Solve for x
    x = 7,313,673.83/3,178.16
  6. Step 6: Final answer
    x = 2,301.23

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