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Finding the Fourth Proportional to 4,944.66, 6,826.29 and 3,934.38

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Solution

The fourth proportional to 4,944.66, 6,826.29 and 3,934.38 is: 5,431.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,944.66 : 6,826.29 = 3,934.38 : x
  2. Step 2: Convert to fraction form
    4,944.66/6,826.29 = 3,934.38/x
  3. Step 3: Cross multiply
    4,944.66x = 6,826.29 × 3,934.38
  4. Step 4: Simplify right side
    4,944.66x = 26,857,218.85
  5. Step 5: Solve for x
    x = 26,857,218.85/4,944.66
  6. Step 6: Final answer
    x = 5,431.56

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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.