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Finding the Fourth Proportional to 4,738.78, 7,108.46 and 1,451.90

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Solution

The fourth proportional to 4,738.78, 7,108.46 and 1,451.90 is: 2,177.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.78 : 7,108.46 = 1,451.90 : x
  2. Step 2: Convert to fraction form
    4,738.78/7,108.46 = 1,451.90/x
  3. Step 3: Cross multiply
    4,738.78x = 7,108.46 × 1,451.90
  4. Step 4: Simplify right side
    4,738.78x = 10,320,789.03
  5. Step 5: Solve for x
    x = 10,320,789.03/4,738.78
  6. Step 6: Final answer
    x = 2,177.94

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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.