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Finding the Fourth Proportional to 3,874, 5,813.56 and 1,822.16

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Solution

The fourth proportional to 3,874, 5,813.56 and 1,822.16 is: 2,734.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874 : 5,813.56 = 1,822.16 : x
  2. Step 2: Convert to fraction form
    3,874/5,813.56 = 1,822.16/x
  3. Step 3: Cross multiply
    3,874x = 5,813.56 × 1,822.16
  4. Step 4: Simplify right side
    3,874x = 10,593,236.49
  5. Step 5: Solve for x
    x = 10,593,236.49/3,874
  6. Step 6: Final answer
    x = 2,734.44

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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.