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Finding the Fourth Proportional to 3,947.70, 5,919.74 and 1,480.76

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Solution

The fourth proportional to 3,947.70, 5,919.74 and 1,480.76 is: 2,220.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.70 : 5,919.74 = 1,480.76 : x
  2. Step 2: Convert to fraction form
    3,947.70/5,919.74 = 1,480.76/x
  3. Step 3: Cross multiply
    3,947.70x = 5,919.74 × 1,480.76
  4. Step 4: Simplify right side
    3,947.70x = 8,765,714.20
  5. Step 5: Solve for x
    x = 8,765,714.20/3,947.70
  6. Step 6: Final answer
    x = 2,220.46

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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.