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Finding the Fourth Proportional to 5,757.14, 7,944.90 and 3,400.46

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Solution

The fourth proportional to 5,757.14, 7,944.90 and 3,400.46 is: 4,692.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.14 : 7,944.90 = 3,400.46 : x
  2. Step 2: Convert to fraction form
    5,757.14/7,944.90 = 3,400.46/x
  3. Step 3: Cross multiply
    5,757.14x = 7,944.90 × 3,400.46
  4. Step 4: Simplify right side
    5,757.14x = 27,016,314.65
  5. Step 5: Solve for x
    x = 27,016,314.65/5,757.14
  6. Step 6: Final answer
    x = 4,692.66

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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.