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Finding the Fourth Proportional to 3,524.77, 5,287.20 and 927.73

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Solution

The fourth proportional to 3,524.77, 5,287.20 and 927.73 is: 1,391.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,524.77 : 5,287.20 = 927.73 : x
  2. Step 2: Convert to fraction form
    3,524.77/5,287.20 = 927.73/x
  3. Step 3: Cross multiply
    3,524.77x = 5,287.20 × 927.73
  4. Step 4: Simplify right side
    3,524.77x = 4,905,094.06
  5. Step 5: Solve for x
    x = 4,905,094.06/3,524.77
  6. Step 6: Final answer
    x = 1,391.61

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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.