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Finding the Fourth Proportional to 5,857, 8,082.90 and 3,373

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Solution

The fourth proportional to 5,857, 8,082.90 and 3,373 is: 4,654.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857 : 8,082.90 = 3,373 : x
  2. Step 2: Convert to fraction form
    5,857/8,082.90 = 3,373/x
  3. Step 3: Cross multiply
    5,857x = 8,082.90 × 3,373
  4. Step 4: Simplify right side
    5,857x = 27,263,621.70
  5. Step 5: Solve for x
    x = 27,263,621.70/5,857
  6. Step 6: Final answer
    x = 4,654.88

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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.