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Finding the Fourth Proportional to 4,157.24, 5,736.24 and 3,369.92

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Solution

The fourth proportional to 4,157.24, 5,736.24 and 3,369.92 is: 4,649.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.24 : 5,736.24 = 3,369.92 : x
  2. Step 2: Convert to fraction form
    4,157.24/5,736.24 = 3,369.92/x
  3. Step 3: Cross multiply
    4,157.24x = 5,736.24 × 3,369.92
  4. Step 4: Simplify right side
    4,157.24x = 19,330,669.90
  5. Step 5: Solve for x
    x = 19,330,669.90/4,157.24
  6. Step 6: Final answer
    x = 4,649.88

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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.