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Finding the Fourth Proportional to 4,609.64, 6,912.06 and 1,646.94

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Solution

The fourth proportional to 4,609.64, 6,912.06 and 1,646.94 is: 2,469.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.64 : 6,912.06 = 1,646.94 : x
  2. Step 2: Convert to fraction form
    4,609.64/6,912.06 = 1,646.94/x
  3. Step 3: Cross multiply
    4,609.64x = 6,912.06 × 1,646.94
  4. Step 4: Simplify right side
    4,609.64x = 11,383,748.10
  5. Step 5: Solve for x
    x = 11,383,748.10/4,609.64
  6. Step 6: Final answer
    x = 2,469.55

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