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Finding the Fourth Proportional to 3,682.96, 5,081.36 and 2,110.96

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Solution

The fourth proportional to 3,682.96, 5,081.36 and 2,110.96 is: 2,912.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.96 : 5,081.36 = 2,110.96 : x
  2. Step 2: Convert to fraction form
    3,682.96/5,081.36 = 2,110.96/x
  3. Step 3: Cross multiply
    3,682.96x = 5,081.36 × 2,110.96
  4. Step 4: Simplify right side
    3,682.96x = 10,726,547.71
  5. Step 5: Solve for x
    x = 10,726,547.71/3,682.96
  6. Step 6: Final answer
    x = 2,912.48

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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.