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Finding the Fourth Proportional to 3,654.70, 5,043.54 and 2,082.76

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Solution

The fourth proportional to 3,654.70, 5,043.54 and 2,082.76 is: 2,874.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.70 : 5,043.54 = 2,082.76 : x
  2. Step 2: Convert to fraction form
    3,654.70/5,043.54 = 2,082.76/x
  3. Step 3: Cross multiply
    3,654.70x = 5,043.54 × 2,082.76
  4. Step 4: Simplify right side
    3,654.70x = 10,504,483.37
  5. Step 5: Solve for x
    x = 10,504,483.37/3,654.70
  6. Step 6: Final answer
    x = 2,874.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.