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Finding the Fourth Proportional to 5,205.92, 7,806.84 and 2,282.18

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Solution

The fourth proportional to 5,205.92, 7,806.84 and 2,282.18 is: 3,422.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.92 : 7,806.84 = 2,282.18 : x
  2. Step 2: Convert to fraction form
    5,205.92/7,806.84 = 2,282.18/x
  3. Step 3: Cross multiply
    5,205.92x = 7,806.84 × 2,282.18
  4. Step 4: Simplify right side
    5,205.92x = 17,816,614.11
  5. Step 5: Solve for x
    x = 17,816,614.11/5,205.92
  6. Step 6: Final answer
    x = 3,422.38

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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.