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Finding the Fourth Proportional to 2,853.32, 3,944.22 and 2,737.04

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Solution

The fourth proportional to 2,853.32, 3,944.22 and 2,737.04 is: 3,783.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853.32 : 3,944.22 = 2,737.04 : x
  2. Step 2: Convert to fraction form
    2,853.32/3,944.22 = 2,737.04/x
  3. Step 3: Cross multiply
    2,853.32x = 3,944.22 × 2,737.04
  4. Step 4: Simplify right side
    2,853.32x = 10,795,487.91
  5. Step 5: Solve for x
    x = 10,795,487.91/2,853.32
  6. Step 6: Final answer
    x = 3,783.48

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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.