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Finding the Fourth Proportional to 4,847.72, 7,262.78 and 3,738.92

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Solution

The fourth proportional to 4,847.72, 7,262.78 and 3,738.92 is: 5,601.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847.72 : 7,262.78 = 3,738.92 : x
  2. Step 2: Convert to fraction form
    4,847.72/7,262.78 = 3,738.92/x
  3. Step 3: Cross multiply
    4,847.72x = 7,262.78 × 3,738.92
  4. Step 4: Simplify right side
    4,847.72x = 27,154,898.39
  5. Step 5: Solve for x
    x = 27,154,898.39/4,847.72
  6. Step 6: Final answer
    x = 5,601.59

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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.