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Finding the Fourth Proportional to 5,757.94, 8,636.96 and 3,796.13

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Solution

The fourth proportional to 5,757.94, 8,636.96 and 3,796.13 is: 5,694.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.94 : 8,636.96 = 3,796.13 : x
  2. Step 2: Convert to fraction form
    5,757.94/8,636.96 = 3,796.13/x
  3. Step 3: Cross multiply
    5,757.94x = 8,636.96 × 3,796.13
  4. Step 4: Simplify right side
    5,757.94x = 32,787,054.05
  5. Step 5: Solve for x
    x = 32,787,054.05/5,757.94
  6. Step 6: Final answer
    x = 5,694.24

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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.