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Finding the Fourth Proportional to 3,908.27, 5,866.54 and 3,820.12

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Solution

The fourth proportional to 3,908.27, 5,866.54 and 3,820.12 is: 5,734.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.27 : 5,866.54 = 3,820.12 : x
  2. Step 2: Convert to fraction form
    3,908.27/5,866.54 = 3,820.12/x
  3. Step 3: Cross multiply
    3,908.27x = 5,866.54 × 3,820.12
  4. Step 4: Simplify right side
    3,908.27x = 22,410,862.57
  5. Step 5: Solve for x
    x = 22,410,862.57/3,908.27
  6. Step 6: Final answer
    x = 5,734.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.