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Finding the Fourth Proportional to 5,502, 7,589.20 and 3,262.24

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Solution

The fourth proportional to 5,502, 7,589.20 and 3,262.24 is: 4,499.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,502 : 7,589.20 = 3,262.24 : x
  2. Step 2: Convert to fraction form
    5,502/7,589.20 = 3,262.24/x
  3. Step 3: Cross multiply
    5,502x = 7,589.20 × 3,262.24
  4. Step 4: Simplify right side
    5,502x = 24,757,791.81
  5. Step 5: Solve for x
    x = 24,757,791.81/5,502
  6. Step 6: Final answer
    x = 4,499.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.