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Finding the Fourth Proportional to 3,806.89, 5,253.63 and 2,105.42

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Solution

The fourth proportional to 3,806.89, 5,253.63 and 2,105.42 is: 2,905.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.89 : 5,253.63 = 2,105.42 : x
  2. Step 2: Convert to fraction form
    3,806.89/5,253.63 = 2,105.42/x
  3. Step 3: Cross multiply
    3,806.89x = 5,253.63 × 2,105.42
  4. Step 4: Simplify right side
    3,806.89x = 11,061,060.88
  5. Step 5: Solve for x
    x = 11,061,060.88/3,806.89
  6. Step 6: Final answer
    x = 2,905.54

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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.