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Finding the Fourth Proportional to 5,072.37, 7,610.82 and 3,223

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Solution

The fourth proportional to 5,072.37, 7,610.82 and 3,223 is: 4,835.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.37 : 7,610.82 = 3,223 : x
  2. Step 2: Convert to fraction form
    5,072.37/7,610.82 = 3,223/x
  3. Step 3: Cross multiply
    5,072.37x = 7,610.82 × 3,223
  4. Step 4: Simplify right side
    5,072.37x = 24,529,672.86
  5. Step 5: Solve for x
    x = 24,529,672.86/5,072.37
  6. Step 6: Final answer
    x = 4,835.94

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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.