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Finding the Fourth Proportional to 3,682.89, 5,082.62 and 2,111.22

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Solution

The fourth proportional to 3,682.89, 5,082.62 and 2,111.22 is: 2,913.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.89 : 5,082.62 = 2,111.22 : x
  2. Step 2: Convert to fraction form
    3,682.89/5,082.62 = 2,111.22/x
  3. Step 3: Cross multiply
    3,682.89x = 5,082.62 × 2,111.22
  4. Step 4: Simplify right side
    3,682.89x = 10,730,518.44
  5. Step 5: Solve for x
    x = 10,730,518.44/3,682.89
  6. Step 6: Final answer
    x = 2,913.61

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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.