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Finding the Fourth Proportional to 3,654.69, 5,043.50 and 2,082.88

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Solution

The fourth proportional to 3,654.69, 5,043.50 and 2,082.88 is: 2,874.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.69 : 5,043.50 = 2,082.88 : x
  2. Step 2: Convert to fraction form
    3,654.69/5,043.50 = 2,082.88/x
  3. Step 3: Cross multiply
    3,654.69x = 5,043.50 × 2,082.88
  4. Step 4: Simplify right side
    3,654.69x = 10,505,008.98
  5. Step 5: Solve for x
    x = 10,505,008.98/3,654.69
  6. Step 6: Final answer
    x = 2,874.39

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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.