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Finding the Fourth Proportional to 3,654.53, 5,043.26 and 2,082.63

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Solution

The fourth proportional to 3,654.53, 5,043.26 and 2,082.63 is: 2,874.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.53 : 5,043.26 = 2,082.63 : x
  2. Step 2: Convert to fraction form
    3,654.53/5,043.26 = 2,082.63/x
  3. Step 3: Cross multiply
    3,654.53x = 5,043.26 × 2,082.63
  4. Step 4: Simplify right side
    3,654.53x = 10,503,244.57
  5. Step 5: Solve for x
    x = 10,503,244.57/3,654.53
  6. Step 6: Final answer
    x = 2,874.03

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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.