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Finding the Fourth Proportional to 3,951.69, 5,923.37 and 1,610.79

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Solution

The fourth proportional to 3,951.69, 5,923.37 and 1,610.79 is: 2,414.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,951.69 : 5,923.37 = 1,610.79 : x
  2. Step 2: Convert to fraction form
    3,951.69/5,923.37 = 1,610.79/x
  3. Step 3: Cross multiply
    3,951.69x = 5,923.37 × 1,610.79
  4. Step 4: Simplify right side
    3,951.69x = 9,541,305.16
  5. Step 5: Solve for x
    x = 9,541,305.16/3,951.69
  6. Step 6: Final answer
    x = 2,414.49

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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.