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Finding the Fourth Proportional to 3,222.56, 4,447.49 and 1,806.38

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Solution

The fourth proportional to 3,222.56, 4,447.49 and 1,806.38 is: 2,493.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,222.56 : 4,447.49 = 1,806.38 : x
  2. Step 2: Convert to fraction form
    3,222.56/4,447.49 = 1,806.38/x
  3. Step 3: Cross multiply
    3,222.56x = 4,447.49 × 1,806.38
  4. Step 4: Simplify right side
    3,222.56x = 8,033,864.15
  5. Step 5: Solve for x
    x = 8,033,864.15/3,222.56
  6. Step 6: Final answer
    x = 2,493.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.