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Finding the Fourth Proportional to 2,546.91, 3,821.13 and 2,106.17

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Solution

The fourth proportional to 2,546.91, 3,821.13 and 2,106.17 is: 3,159.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.91 : 3,821.13 = 2,106.17 : x
  2. Step 2: Convert to fraction form
    2,546.91/3,821.13 = 2,106.17/x
  3. Step 3: Cross multiply
    2,546.91x = 3,821.13 × 2,106.17
  4. Step 4: Simplify right side
    2,546.91x = 8,047,944.60
  5. Step 5: Solve for x
    x = 8,047,944.60/2,546.91
  6. Step 6: Final answer
    x = 3,159.89

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