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Finding the Fourth Proportional to 3,951.42, 5,923 and 1,610.42

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Solution

The fourth proportional to 3,951.42, 5,923 and 1,610.42 is: 2,413.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,951.42 : 5,923 = 1,610.42 : x
  2. Step 2: Convert to fraction form
    3,951.42/5,923 = 1,610.42/x
  3. Step 3: Cross multiply
    3,951.42x = 5,923 × 1,610.42
  4. Step 4: Simplify right side
    3,951.42x = 9,538,517.66
  5. Step 5: Solve for x
    x = 9,538,517.66/3,951.42
  6. Step 6: Final answer
    x = 2,413.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.