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Finding the Fourth Proportional to 3,940.20, 5,904.90 and 3,211.20

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Solution

The fourth proportional to 3,940.20, 5,904.90 and 3,211.20 is: 4,812.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,940.20 : 5,904.90 = 3,211.20 : x
  2. Step 2: Convert to fraction form
    3,940.20/5,904.90 = 3,211.20/x
  3. Step 3: Cross multiply
    3,940.20x = 5,904.90 × 3,211.20
  4. Step 4: Simplify right side
    3,940.20x = 18,961,814.88
  5. Step 5: Solve for x
    x = 18,961,814.88/3,940.20
  6. Step 6: Final answer
    x = 4,812.40

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1.5x scale

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.