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Finding the Fourth Proportional to 5,524.30, 7,626 and 3,286.96

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Solution

The fourth proportional to 5,524.30, 7,626 and 3,286.96 is: 4,537.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,524.30 : 7,626 = 3,286.96 : x
  2. Step 2: Convert to fraction form
    5,524.30/7,626 = 3,286.96/x
  3. Step 3: Cross multiply
    5,524.30x = 7,626 × 3,286.96
  4. Step 4: Simplify right side
    5,524.30x = 25,066,356.96
  5. Step 5: Solve for x
    x = 25,066,356.96/5,524.30
  6. Step 6: Final answer
    x = 4,537.47

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