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Finding the Fourth Proportional to 4,563.60, 6,838.92 and 1,787.28

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Solution

The fourth proportional to 4,563.60, 6,838.92 and 1,787.28 is: 2,678.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,563.60 : 6,838.92 = 1,787.28 : x
  2. Step 2: Convert to fraction form
    4,563.60/6,838.92 = 1,787.28/x
  3. Step 3: Cross multiply
    4,563.60x = 6,838.92 × 1,787.28
  4. Step 4: Simplify right side
    4,563.60x = 12,223,064.94
  5. Step 5: Solve for x
    x = 12,223,064.94/4,563.60
  6. Step 6: Final answer
    x = 2,678.38

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