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Finding the Fourth Proportional to 3,919.75, 5,879.63 and 1,183.75

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Solution

The fourth proportional to 3,919.75, 5,879.63 and 1,183.75 is: 1,775.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.75 : 5,879.63 = 1,183.75 : x
  2. Step 2: Convert to fraction form
    3,919.75/5,879.63 = 1,183.75/x
  3. Step 3: Cross multiply
    3,919.75x = 5,879.63 × 1,183.75
  4. Step 4: Simplify right side
    3,919.75x = 6,960,012.01
  5. Step 5: Solve for x
    x = 6,960,012.01/3,919.75
  6. Step 6: Final answer
    x = 1,775.63

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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.