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Finding the Fourth Proportional to 4,214, 6,323.84 and 2,526.77

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Solution

The fourth proportional to 4,214, 6,323.84 and 2,526.77 is: 3,791.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,214 : 6,323.84 = 2,526.77 : x
  2. Step 2: Convert to fraction form
    4,214/6,323.84 = 2,526.77/x
  3. Step 3: Cross multiply
    4,214x = 6,323.84 × 2,526.77
  4. Step 4: Simplify right side
    4,214x = 15,978,876.56
  5. Step 5: Solve for x
    x = 15,978,876.56/4,214
  6. Step 6: Final answer
    x = 3,791.85

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