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Finding the Fourth Proportional to 3,895.64, 5,842.83 and 1,429.85

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Solution

The fourth proportional to 3,895.64, 5,842.83 and 1,429.85 is: 2,144.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,895.64 : 5,842.83 = 1,429.85 : x
  2. Step 2: Convert to fraction form
    3,895.64/5,842.83 = 1,429.85/x
  3. Step 3: Cross multiply
    3,895.64x = 5,842.83 × 1,429.85
  4. Step 4: Simplify right side
    3,895.64x = 8,354,390.44
  5. Step 5: Solve for x
    x = 8,354,390.44/3,895.64
  6. Step 6: Final answer
    x = 2,144.55

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