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Finding the Fourth Proportional to 4,002, 5,522 and 2,323.27

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Solution

The fourth proportional to 4,002, 5,522 and 2,323.27 is: 3,205.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002 : 5,522 = 2,323.27 : x
  2. Step 2: Convert to fraction form
    4,002/5,522 = 2,323.27/x
  3. Step 3: Cross multiply
    4,002x = 5,522 × 2,323.27
  4. Step 4: Simplify right side
    4,002x = 12,829,096.94
  5. Step 5: Solve for x
    x = 12,829,096.94/4,002
  6. Step 6: Final answer
    x = 3,205.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.