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Finding the Fourth Proportional to 4,977.22, 7,449.41 and 2,752.63

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Solution

The fourth proportional to 4,977.22, 7,449.41 and 2,752.63 is: 4,119.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.22 : 7,449.41 = 2,752.63 : x
  2. Step 2: Convert to fraction form
    4,977.22/7,449.41 = 2,752.63/x
  3. Step 3: Cross multiply
    4,977.22x = 7,449.41 × 2,752.63
  4. Step 4: Simplify right side
    4,977.22x = 20,505,469.45
  5. Step 5: Solve for x
    x = 20,505,469.45/4,977.22
  6. Step 6: Final answer
    x = 4,119.86

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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.