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Finding the Fourth Proportional to 5,757, 7,944.66 and 3,273

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Solution

The fourth proportional to 5,757, 7,944.66 and 3,273 is: 4,516.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757 : 7,944.66 = 3,273 : x
  2. Step 2: Convert to fraction form
    5,757/7,944.66 = 3,273/x
  3. Step 3: Cross multiply
    5,757x = 7,944.66 × 3,273
  4. Step 4: Simplify right side
    5,757x = 26,002,872.18
  5. Step 5: Solve for x
    x = 26,002,872.18/5,757
  6. Step 6: Final answer
    x = 4,516.74

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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.