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Finding the Fourth Proportional to 5,084.84, 7,626 and 2,162.81

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Solution

The fourth proportional to 5,084.84, 7,626 and 2,162.81 is: 3,243.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,084.84 : 7,626 = 2,162.81 : x
  2. Step 2: Convert to fraction form
    5,084.84/7,626 = 2,162.81/x
  3. Step 3: Cross multiply
    5,084.84x = 7,626 × 2,162.81
  4. Step 4: Simplify right side
    5,084.84x = 16,493,589.06
  5. Step 5: Solve for x
    x = 16,493,589.06/5,084.84
  6. Step 6: Final answer
    x = 3,243.68

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Why These Related Problems?

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