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Finding the Fourth Proportional to 3,826.92, 5,273.22 and 3,077.88

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Solution

The fourth proportional to 3,826.92, 5,273.22 and 3,077.88 is: 4,241.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826.92 : 5,273.22 = 3,077.88 : x
  2. Step 2: Convert to fraction form
    3,826.92/5,273.22 = 3,077.88/x
  3. Step 3: Cross multiply
    3,826.92x = 5,273.22 × 3,077.88
  4. Step 4: Simplify right side
    3,826.92x = 16,230,338.37
  5. Step 5: Solve for x
    x = 16,230,338.37/3,826.92
  6. Step 6: Final answer
    x = 4,241.10

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1.5x scale

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.