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Finding the Fourth Proportional to 4,949.96, 7,425.72 and 2,027.48

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Solution

The fourth proportional to 4,949.96, 7,425.72 and 2,027.48 is: 3,041.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,949.96 : 7,425.72 = 2,027.48 : x
  2. Step 2: Convert to fraction form
    4,949.96/7,425.72 = 2,027.48/x
  3. Step 3: Cross multiply
    4,949.96x = 7,425.72 × 2,027.48
  4. Step 4: Simplify right side
    4,949.96x = 15,055,498.79
  5. Step 5: Solve for x
    x = 15,055,498.79/4,949.96
  6. Step 6: Final answer
    x = 3,041.54

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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.