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Finding the Fourth Proportional to 3,806.50, 5,253.25 and 2,213.57

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Solution

The fourth proportional to 3,806.50, 5,253.25 and 2,213.57 is: 3,054.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.50 : 5,253.25 = 2,213.57 : x
  2. Step 2: Convert to fraction form
    3,806.50/5,253.25 = 2,213.57/x
  3. Step 3: Cross multiply
    3,806.50x = 5,253.25 × 2,213.57
  4. Step 4: Simplify right side
    3,806.50x = 11,628,436.60
  5. Step 5: Solve for x
    x = 11,628,436.60/3,806.50
  6. Step 6: Final answer
    x = 3,054.89

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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.