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Finding the Fourth Proportional to 3,859.92, 5,789.52 and 1,263

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Solution

The fourth proportional to 3,859.92, 5,789.52 and 1,263 is: 1,894.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.92 : 5,789.52 = 1,263 : x
  2. Step 2: Convert to fraction form
    3,859.92/5,789.52 = 1,263/x
  3. Step 3: Cross multiply
    3,859.92x = 5,789.52 × 1,263
  4. Step 4: Simplify right side
    3,859.92x = 7,312,163.76
  5. Step 5: Solve for x
    x = 7,312,163.76/3,859.92
  6. Step 6: Final answer
    x = 1,894.38

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1.5x scale

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.