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Finding the Fourth Proportional to 3,827.86, 5,742.94 and 3,166.75

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Solution

The fourth proportional to 3,827.86, 5,742.94 and 3,166.75 is: 4,751.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.86 : 5,742.94 = 3,166.75 : x
  2. Step 2: Convert to fraction form
    3,827.86/5,742.94 = 3,166.75/x
  3. Step 3: Cross multiply
    3,827.86x = 5,742.94 × 3,166.75
  4. Step 4: Simplify right side
    3,827.86x = 18,186,423.69
  5. Step 5: Solve for x
    x = 18,186,423.69/3,827.86
  6. Step 6: Final answer
    x = 4,751.07

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