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Finding the Fourth Proportional to 3,633.82, 5,446.48 and 1,683.76

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Solution

The fourth proportional to 3,633.82, 5,446.48 and 1,683.76 is: 2,523.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.82 : 5,446.48 = 1,683.76 : x
  2. Step 2: Convert to fraction form
    3,633.82/5,446.48 = 1,683.76/x
  3. Step 3: Cross multiply
    3,633.82x = 5,446.48 × 1,683.76
  4. Step 4: Simplify right side
    3,633.82x = 9,170,565.16
  5. Step 5: Solve for x
    x = 9,170,565.16/3,633.82
  6. Step 6: Final answer
    x = 2,523.67

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