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Finding the Fourth Proportional to 5,307.38, 7,961.39 and 1,609.64

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Solution

The fourth proportional to 5,307.38, 7,961.39 and 1,609.64 is: 2,414.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.38 : 7,961.39 = 1,609.64 : x
  2. Step 2: Convert to fraction form
    5,307.38/7,961.39 = 1,609.64/x
  3. Step 3: Cross multiply
    5,307.38x = 7,961.39 × 1,609.64
  4. Step 4: Simplify right side
    5,307.38x = 12,814,959.84
  5. Step 5: Solve for x
    x = 12,814,959.84/5,307.38
  6. Step 6: Final answer
    x = 2,414.56

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