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Finding the Fourth Proportional to 3,829.77, 5,744.85 and 1,056.38

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Solution

The fourth proportional to 3,829.77, 5,744.85 and 1,056.38 is: 1,584.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.77 : 5,744.85 = 1,056.38 : x
  2. Step 2: Convert to fraction form
    3,829.77/5,744.85 = 1,056.38/x
  3. Step 3: Cross multiply
    3,829.77x = 5,744.85 × 1,056.38
  4. Step 4: Simplify right side
    3,829.77x = 6,068,744.64
  5. Step 5: Solve for x
    x = 6,068,744.64/3,829.77
  6. Step 6: Final answer
    x = 1,584.62

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