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Finding the Fourth Proportional to 4,806.81, 7,213.86 and 3,243.11

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Solution

The fourth proportional to 4,806.81, 7,213.86 and 3,243.11 is: 4,867.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.81 : 7,213.86 = 3,243.11 : x
  2. Step 2: Convert to fraction form
    4,806.81/7,213.86 = 3,243.11/x
  3. Step 3: Cross multiply
    4,806.81x = 7,213.86 × 3,243.11
  4. Step 4: Simplify right side
    4,806.81x = 23,395,305.44
  5. Step 5: Solve for x
    x = 23,395,305.44/4,806.81
  6. Step 6: Final answer
    x = 4,867.12

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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.