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Finding the Fourth Proportional to 5,793.38, 7,994.67 and 3,434.12

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Solution

The fourth proportional to 5,793.38, 7,994.67 and 3,434.12 is: 4,738.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,793.38 : 7,994.67 = 3,434.12 : x
  2. Step 2: Convert to fraction form
    5,793.38/7,994.67 = 3,434.12/x
  3. Step 3: Cross multiply
    5,793.38x = 7,994.67 × 3,434.12
  4. Step 4: Simplify right side
    5,793.38x = 27,454,656.14
  5. Step 5: Solve for x
    x = 27,454,656.14/5,793.38
  6. Step 6: Final answer
    x = 4,738.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.