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Finding the Fourth Proportional to 3,794.92, 5,648.13 and 3,758.44

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Solution

The fourth proportional to 3,794.92, 5,648.13 and 3,758.44 is: 5,593.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.92 : 5,648.13 = 3,758.44 : x
  2. Step 2: Convert to fraction form
    3,794.92/5,648.13 = 3,758.44/x
  3. Step 3: Cross multiply
    3,794.92x = 5,648.13 × 3,758.44
  4. Step 4: Simplify right side
    3,794.92x = 21,228,157.72
  5. Step 5: Solve for x
    x = 21,228,157.72/3,794.92
  6. Step 6: Final answer
    x = 5,593.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.