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Finding the Fourth Proportional to 3,524.52, 5,286.84 and 927.25

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Solution

The fourth proportional to 3,524.52, 5,286.84 and 927.25 is: 1,390.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,524.52 : 5,286.84 = 927.25 : x
  2. Step 2: Convert to fraction form
    3,524.52/5,286.84 = 927.25/x
  3. Step 3: Cross multiply
    3,524.52x = 5,286.84 × 927.25
  4. Step 4: Simplify right side
    3,524.52x = 4,902,222.39
  5. Step 5: Solve for x
    x = 4,902,222.39/3,524.52
  6. Step 6: Final answer
    x = 1,390.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.