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Finding the Fourth Proportional to 3,682.63, 5,082.66 and 2,356.27

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Solution

The fourth proportional to 3,682.63, 5,082.66 and 2,356.27 is: 3,252.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.63 : 5,082.66 = 2,356.27 : x
  2. Step 2: Convert to fraction form
    3,682.63/5,082.66 = 2,356.27/x
  3. Step 3: Cross multiply
    3,682.63x = 5,082.66 × 2,356.27
  4. Step 4: Simplify right side
    3,682.63x = 11,976,119.28
  5. Step 5: Solve for x
    x = 11,976,119.28/3,682.63
  6. Step 6: Final answer
    x = 3,252.06

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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.