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Finding the Fourth Proportional to 3,902.91, 5,386.04 and 2,201.43

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Solution

The fourth proportional to 3,902.91, 5,386.04 and 2,201.43 is: 3,037.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.91 : 5,386.04 = 2,201.43 : x
  2. Step 2: Convert to fraction form
    3,902.91/5,386.04 = 2,201.43/x
  3. Step 3: Cross multiply
    3,902.91x = 5,386.04 × 2,201.43
  4. Step 4: Simplify right side
    3,902.91x = 11,856,990.04
  5. Step 5: Solve for x
    x = 11,856,990.04/3,902.91
  6. Step 6: Final answer
    x = 3,037.99

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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.