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Finding the Fourth Proportional to 5,454.93, 8,183.13 and 1,945.80

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Solution

The fourth proportional to 5,454.93, 8,183.13 and 1,945.80 is: 2,918.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,454.93 : 8,183.13 = 1,945.80 : x
  2. Step 2: Convert to fraction form
    5,454.93/8,183.13 = 1,945.80/x
  3. Step 3: Cross multiply
    5,454.93x = 8,183.13 × 1,945.80
  4. Step 4: Simplify right side
    5,454.93x = 15,922,734.35
  5. Step 5: Solve for x
    x = 15,922,734.35/5,454.93
  6. Step 6: Final answer
    x = 2,918.96

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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.