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Finding the Fourth Proportional to 4,687.82, 7,033.09 and 2,219.23

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Solution

The fourth proportional to 4,687.82, 7,033.09 and 2,219.23 is: 3,329.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,687.82 : 7,033.09 = 2,219.23 : x
  2. Step 2: Convert to fraction form
    4,687.82/7,033.09 = 2,219.23/x
  3. Step 3: Cross multiply
    4,687.82x = 7,033.09 × 2,219.23
  4. Step 4: Simplify right side
    4,687.82x = 15,608,044.32
  5. Step 5: Solve for x
    x = 15,608,044.32/4,687.82
  6. Step 6: Final answer
    x = 3,329.49

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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.