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Finding the Fourth Proportional to 3,229.43, 4,837.89 and 1,891.99

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Solution

The fourth proportional to 3,229.43, 4,837.89 and 1,891.99 is: 2,834.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.43 : 4,837.89 = 1,891.99 : x
  2. Step 2: Convert to fraction form
    3,229.43/4,837.89 = 1,891.99/x
  3. Step 3: Cross multiply
    3,229.43x = 4,837.89 × 1,891.99
  4. Step 4: Simplify right side
    3,229.43x = 9,153,239.50
  5. Step 5: Solve for x
    x = 9,153,239.50/3,229.43
  6. Step 6: Final answer
    x = 2,834.32

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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.