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Finding the Fourth Proportional to 3,577.78, 4,936.50 and 2,084.92

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Solution

The fourth proportional to 3,577.78, 4,936.50 and 2,084.92 is: 2,876.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.78 : 4,936.50 = 2,084.92 : x
  2. Step 2: Convert to fraction form
    3,577.78/4,936.50 = 2,084.92/x
  3. Step 3: Cross multiply
    3,577.78x = 4,936.50 × 2,084.92
  4. Step 4: Simplify right side
    3,577.78x = 10,292,207.58
  5. Step 5: Solve for x
    x = 10,292,207.58/3,577.78
  6. Step 6: Final answer
    x = 2,876.70

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