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Finding the Fourth Proportional to 3,489.94, 4,806.75 and 3,227.18

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Solution

The fourth proportional to 3,489.94, 4,806.75 and 3,227.18 is: 4,444.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.94 : 4,806.75 = 3,227.18 : x
  2. Step 2: Convert to fraction form
    3,489.94/4,806.75 = 3,227.18/x
  3. Step 3: Cross multiply
    3,489.94x = 4,806.75 × 3,227.18
  4. Step 4: Simplify right side
    3,489.94x = 15,512,247.47
  5. Step 5: Solve for x
    x = 15,512,247.47/3,489.94
  6. Step 6: Final answer
    x = 4,444.85

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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.