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Finding the Fourth Proportional to 7,520.44, 11,281.44 and 2,589.48

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Solution

The fourth proportional to 7,520.44, 11,281.44 and 2,589.48 is: 3,884.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,520.44 : 11,281.44 = 2,589.48 : x
  2. Step 2: Convert to fraction form
    7,520.44/11,281.44 = 2,589.48/x
  3. Step 3: Cross multiply
    7,520.44x = 11,281.44 × 2,589.48
  4. Step 4: Simplify right side
    7,520.44x = 29,213,063.25
  5. Step 5: Solve for x
    x = 29,213,063.25/7,520.44
  6. Step 6: Final answer
    x = 3,884.49

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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.