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Finding the Fourth Proportional to 3,859.50, 5,789.52 and 1,551

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Solution

The fourth proportional to 3,859.50, 5,789.52 and 1,551 is: 2,326.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.50 : 5,789.52 = 1,551 : x
  2. Step 2: Convert to fraction form
    3,859.50/5,789.52 = 1,551/x
  3. Step 3: Cross multiply
    3,859.50x = 5,789.52 × 1,551
  4. Step 4: Simplify right side
    3,859.50x = 8,979,545.52
  5. Step 5: Solve for x
    x = 8,979,545.52/3,859.50
  6. Step 6: Final answer
    x = 2,326.61

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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.