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Finding the Fourth Proportional to 4,002, 5,522.94 and 2,233.62

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Solution

The fourth proportional to 4,002, 5,522.94 and 2,233.62 is: 3,082.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002 : 5,522.94 = 2,233.62 : x
  2. Step 2: Convert to fraction form
    4,002/5,522.94 = 2,233.62/x
  3. Step 3: Cross multiply
    4,002x = 5,522.94 × 2,233.62
  4. Step 4: Simplify right side
    4,002x = 12,336,149.24
  5. Step 5: Solve for x
    x = 12,336,149.24/4,002
  6. Step 6: Final answer
    x = 3,082.50

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1.5x scale

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.