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Finding the Fourth Proportional to 2,567.49, 3,852.71 and 2,546.61

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Solution

The fourth proportional to 2,567.49, 3,852.71 and 2,546.61 is: 3,821.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,567.49 : 3,852.71 = 2,546.61 : x
  2. Step 2: Convert to fraction form
    2,567.49/3,852.71 = 2,546.61/x
  3. Step 3: Cross multiply
    2,567.49x = 3,852.71 × 2,546.61
  4. Step 4: Simplify right side
    2,567.49x = 9,811,337.08
  5. Step 5: Solve for x
    x = 9,811,337.08/2,567.49
  6. Step 6: Final answer
    x = 3,821.37

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