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Finding the Fourth Proportional to 4,713.72, 7,074.99 and 2,250.24

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Solution

The fourth proportional to 4,713.72, 7,074.99 and 2,250.24 is: 3,377.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.72 : 7,074.99 = 2,250.24 : x
  2. Step 2: Convert to fraction form
    4,713.72/7,074.99 = 2,250.24/x
  3. Step 3: Cross multiply
    4,713.72x = 7,074.99 × 2,250.24
  4. Step 4: Simplify right side
    4,713.72x = 15,920,425.50
  5. Step 5: Solve for x
    x = 15,920,425.50/4,713.72
  6. Step 6: Final answer
    x = 3,377.47

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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.