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Finding the Fourth Proportional to 3,786.54, 5,680.47 and 1,446.76

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Solution

The fourth proportional to 3,786.54, 5,680.47 and 1,446.76 is: 2,170.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.54 : 5,680.47 = 1,446.76 : x
  2. Step 2: Convert to fraction form
    3,786.54/5,680.47 = 1,446.76/x
  3. Step 3: Cross multiply
    3,786.54x = 5,680.47 × 1,446.76
  4. Step 4: Simplify right side
    3,786.54x = 8,218,257.15
  5. Step 5: Solve for x
    x = 8,218,257.15/3,786.54
  6. Step 6: Final answer
    x = 2,170.38

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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.