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Finding the Fourth Proportional to 3,682.76, 5,082.26 and 2,265.88

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Solution

The fourth proportional to 3,682.76, 5,082.26 and 2,265.88 is: 3,126.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.76 : 5,082.26 = 2,265.88 : x
  2. Step 2: Convert to fraction form
    3,682.76/5,082.26 = 2,265.88/x
  3. Step 3: Cross multiply
    3,682.76x = 5,082.26 × 2,265.88
  4. Step 4: Simplify right side
    3,682.76x = 11,515,791.29
  5. Step 5: Solve for x
    x = 11,515,791.29/3,682.76
  6. Step 6: Final answer
    x = 3,126.95

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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.