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Finding the Fourth Proportional to 4,806.30, 7,208.36 and 2,206.74

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Solution

The fourth proportional to 4,806.30, 7,208.36 and 2,206.74 is: 3,309.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.30 : 7,208.36 = 2,206.74 : x
  2. Step 2: Convert to fraction form
    4,806.30/7,208.36 = 2,206.74/x
  3. Step 3: Cross multiply
    4,806.30x = 7,208.36 × 2,206.74
  4. Step 4: Simplify right side
    4,806.30x = 15,906,976.35
  5. Step 5: Solve for x
    x = 15,906,976.35/4,806.30
  6. Step 6: Final answer
    x = 3,309.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.