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Finding the Fourth Proportional to 5,838.64, 8,757.92 and 1,456.16

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Solution

The fourth proportional to 5,838.64, 8,757.92 and 1,456.16 is: 2,184.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838.64 : 8,757.92 = 1,456.16 : x
  2. Step 2: Convert to fraction form
    5,838.64/8,757.92 = 1,456.16/x
  3. Step 3: Cross multiply
    5,838.64x = 8,757.92 × 1,456.16
  4. Step 4: Simplify right side
    5,838.64x = 12,752,932.79
  5. Step 5: Solve for x
    x = 12,752,932.79/5,838.64
  6. Step 6: Final answer
    x = 2,184.23

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