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Finding the Fourth Proportional to 3,768.94, 5,648.22 and 2,843.68

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Solution

The fourth proportional to 3,768.94, 5,648.22 and 2,843.68 is: 4,261.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.94 : 5,648.22 = 2,843.68 : x
  2. Step 2: Convert to fraction form
    3,768.94/5,648.22 = 2,843.68/x
  3. Step 3: Cross multiply
    3,768.94x = 5,648.22 × 2,843.68
  4. Step 4: Simplify right side
    3,768.94x = 16,061,730.25
  5. Step 5: Solve for x
    x = 16,061,730.25/3,768.94
  6. Step 6: Final answer
    x = 4,261.60

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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.