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Finding the Fourth Proportional to 3,848.85, 5,775.10 and 2,206.78

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Solution

The fourth proportional to 3,848.85, 5,775.10 and 2,206.78 is: 3,311.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.85 : 5,775.10 = 2,206.78 : x
  2. Step 2: Convert to fraction form
    3,848.85/5,775.10 = 2,206.78/x
  3. Step 3: Cross multiply
    3,848.85x = 5,775.10 × 2,206.78
  4. Step 4: Simplify right side
    3,848.85x = 12,744,355.22
  5. Step 5: Solve for x
    x = 12,744,355.22/3,848.85
  6. Step 6: Final answer
    x = 3,311.21

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