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Finding the Fourth Proportional to 3,222.06, 4,446.71 and 1,806.06

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Solution

The fourth proportional to 3,222.06, 4,446.71 and 1,806.06 is: 2,492.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,222.06 : 4,446.71 = 1,806.06 : x
  2. Step 2: Convert to fraction form
    3,222.06/4,446.71 = 1,806.06/x
  3. Step 3: Cross multiply
    3,222.06x = 4,446.71 × 1,806.06
  4. Step 4: Simplify right side
    3,222.06x = 8,031,016.03
  5. Step 5: Solve for x
    x = 8,031,016.03/3,222.06
  6. Step 6: Final answer
    x = 2,492.51

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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.