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Finding the Fourth Proportional to 3,846.02, 5,768.85 and 1,535.90

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Solution

The fourth proportional to 3,846.02, 5,768.85 and 1,535.90 is: 2,303.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.02 : 5,768.85 = 1,535.90 : x
  2. Step 2: Convert to fraction form
    3,846.02/5,768.85 = 1,535.90/x
  3. Step 3: Cross multiply
    3,846.02x = 5,768.85 × 1,535.90
  4. Step 4: Simplify right side
    3,846.02x = 8,860,376.72
  5. Step 5: Solve for x
    x = 8,860,376.72/3,846.02
  6. Step 6: Final answer
    x = 2,303.78

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