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Finding the Fourth Proportional to 3,806.06, 5,254.07 and 2,234.25

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Solution

The fourth proportional to 3,806.06, 5,254.07 and 2,234.25 is: 3,084.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.06 : 5,254.07 = 2,234.25 : x
  2. Step 2: Convert to fraction form
    3,806.06/5,254.07 = 2,234.25/x
  3. Step 3: Cross multiply
    3,806.06x = 5,254.07 × 2,234.25
  4. Step 4: Simplify right side
    3,806.06x = 11,738,894.73
  5. Step 5: Solve for x
    x = 11,738,894.73/3,806.06
  6. Step 6: Final answer
    x = 3,084.27

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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.