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Finding the Fourth Proportional to 3,827.92, 5,737.92 and 2,092.84

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Solution

The fourth proportional to 3,827.92, 5,737.92 and 2,092.84 is: 3,137.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.92 : 5,737.92 = 2,092.84 : x
  2. Step 2: Convert to fraction form
    3,827.92/5,737.92 = 2,092.84/x
  3. Step 3: Cross multiply
    3,827.92x = 5,737.92 × 2,092.84
  4. Step 4: Simplify right side
    3,827.92x = 12,008,548.49
  5. Step 5: Solve for x
    x = 12,008,548.49/3,827.92
  6. Step 6: Final answer
    x = 3,137.09

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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.