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Finding the Fourth Proportional to 5,307.61, 7,961.38 and 1,609.83

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Solution

The fourth proportional to 5,307.61, 7,961.38 and 1,609.83 is: 2,414.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.61 : 7,961.38 = 1,609.83 : x
  2. Step 2: Convert to fraction form
    5,307.61/7,961.38 = 1,609.83/x
  3. Step 3: Cross multiply
    5,307.61x = 7,961.38 × 1,609.83
  4. Step 4: Simplify right side
    5,307.61x = 12,816,468.37
  5. Step 5: Solve for x
    x = 12,816,468.37/5,307.61
  6. Step 6: Final answer
    x = 2,414.73

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