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Finding the Fourth Proportional to 3,879.56, 5,819.45 and 1,282.50

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Solution

The fourth proportional to 3,879.56, 5,819.45 and 1,282.50 is: 1,923.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.56 : 5,819.45 = 1,282.50 : x
  2. Step 2: Convert to fraction form
    3,879.56/5,819.45 = 1,282.50/x
  3. Step 3: Cross multiply
    3,879.56x = 5,819.45 × 1,282.50
  4. Step 4: Simplify right side
    3,879.56x = 7,463,438.21
  5. Step 5: Solve for x
    x = 7,463,438.21/3,879.56
  6. Step 6: Final answer
    x = 1,923.78

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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.