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Finding the Fourth Proportional to 3,825.63, 5,738.45 and 2,526.80

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Solution

The fourth proportional to 3,825.63, 5,738.45 and 2,526.80 is: 3,790.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.63 : 5,738.45 = 2,526.80 : x
  2. Step 2: Convert to fraction form
    3,825.63/5,738.45 = 2,526.80/x
  3. Step 3: Cross multiply
    3,825.63x = 5,738.45 × 2,526.80
  4. Step 4: Simplify right side
    3,825.63x = 14,499,874.13
  5. Step 5: Solve for x
    x = 14,499,874.13/3,825.63
  6. Step 6: Final answer
    x = 3,790.19

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