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Finding the Fourth Proportional to 4,947.22, 7,414.37 and 3,772.92

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Solution

The fourth proportional to 4,947.22, 7,414.37 and 3,772.92 is: 5,654.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.22 : 7,414.37 = 3,772.92 : x
  2. Step 2: Convert to fraction form
    4,947.22/7,414.37 = 3,772.92/x
  3. Step 3: Cross multiply
    4,947.22x = 7,414.37 × 3,772.92
  4. Step 4: Simplify right side
    4,947.22x = 27,973,806.00
  5. Step 5: Solve for x
    x = 27,973,806.00/4,947.22
  6. Step 6: Final answer
    x = 5,654.46

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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.