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Finding the Fourth Proportional to 4,761.92, 7,142.41 and 1,474.67

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Solution

The fourth proportional to 4,761.92, 7,142.41 and 1,474.67 is: 2,211.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.92 : 7,142.41 = 1,474.67 : x
  2. Step 2: Convert to fraction form
    4,761.92/7,142.41 = 1,474.67/x
  3. Step 3: Cross multiply
    4,761.92x = 7,142.41 × 1,474.67
  4. Step 4: Simplify right side
    4,761.92x = 10,532,717.45
  5. Step 5: Solve for x
    x = 10,532,717.45/4,761.92
  6. Step 6: Final answer
    x = 2,211.86

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Why These Related Problems?

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