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Finding the Fourth Proportional to 4,297.75, 6,446.61 and 1,177.78

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Solution

The fourth proportional to 4,297.75, 6,446.61 and 1,177.78 is: 1,766.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.75 : 6,446.61 = 1,177.78 : x
  2. Step 2: Convert to fraction form
    4,297.75/6,446.61 = 1,177.78/x
  3. Step 3: Cross multiply
    4,297.75x = 6,446.61 × 1,177.78
  4. Step 4: Simplify right side
    4,297.75x = 7,592,688.33
  5. Step 5: Solve for x
    x = 7,592,688.33/4,297.75
  6. Step 6: Final answer
    x = 1,766.67

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