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Finding the Fourth Proportional to 4,536, 6,805.62 and 2,229.12

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Solution

The fourth proportional to 4,536, 6,805.62 and 2,229.12 is: 3,344.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536 : 6,805.62 = 2,229.12 : x
  2. Step 2: Convert to fraction form
    4,536/6,805.62 = 2,229.12/x
  3. Step 3: Cross multiply
    4,536x = 6,805.62 × 2,229.12
  4. Step 4: Simplify right side
    4,536x = 15,170,543.65
  5. Step 5: Solve for x
    x = 15,170,543.65/4,536
  6. Step 6: Final answer
    x = 3,344.48

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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.