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Finding the Fourth Proportional to 3,942.80, 5,885.34 and 3,475.74

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Solution

The fourth proportional to 3,942.80, 5,885.34 and 3,475.74 is: 5,188.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,942.80 : 5,885.34 = 3,475.74 : x
  2. Step 2: Convert to fraction form
    3,942.80/5,885.34 = 3,475.74/x
  3. Step 3: Cross multiply
    3,942.80x = 5,885.34 × 3,475.74
  4. Step 4: Simplify right side
    3,942.80x = 20,455,911.65
  5. Step 5: Solve for x
    x = 20,455,911.65/3,942.80
  6. Step 6: Final answer
    x = 5,188.18

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