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Finding the Fourth Proportional to 4,806.92, 7,210.68 and 2,033.08

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Solution

The fourth proportional to 4,806.92, 7,210.68 and 2,033.08 is: 3,049.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.92 : 7,210.68 = 2,033.08 : x
  2. Step 2: Convert to fraction form
    4,806.92/7,210.68 = 2,033.08/x
  3. Step 3: Cross multiply
    4,806.92x = 7,210.68 × 2,033.08
  4. Step 4: Simplify right side
    4,806.92x = 14,659,889.29
  5. Step 5: Solve for x
    x = 14,659,889.29/4,806.92
  6. Step 6: Final answer
    x = 3,049.75

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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.