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Finding the Fourth Proportional to 3,754.44, 5,180.76 and 2,262.24

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Solution

The fourth proportional to 3,754.44, 5,180.76 and 2,262.24 is: 3,121.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.44 : 5,180.76 = 2,262.24 : x
  2. Step 2: Convert to fraction form
    3,754.44/5,180.76 = 2,262.24/x
  3. Step 3: Cross multiply
    3,754.44x = 5,180.76 × 2,262.24
  4. Step 4: Simplify right side
    3,754.44x = 11,720,122.50
  5. Step 5: Solve for x
    x = 11,720,122.50/3,754.44
  6. Step 6: Final answer
    x = 3,121.67

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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.