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Finding the Fourth Proportional to 4,940.22, 6,824.16 and 3,952.56

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Solution

The fourth proportional to 4,940.22, 6,824.16 and 3,952.56 is: 5,459.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,940.22 : 6,824.16 = 3,952.56 : x
  2. Step 2: Convert to fraction form
    4,940.22/6,824.16 = 3,952.56/x
  3. Step 3: Cross multiply
    4,940.22x = 6,824.16 × 3,952.56
  4. Step 4: Simplify right side
    4,940.22x = 26,972,901.85
  5. Step 5: Solve for x
    x = 26,972,901.85/4,940.22
  6. Step 6: Final answer
    x = 5,459.86

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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.