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Finding the Fourth Proportional to 3,944.71, 5,915.24 and 1,477.76

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Solution

The fourth proportional to 3,944.71, 5,915.24 and 1,477.76 is: 2,215.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,944.71 : 5,915.24 = 1,477.76 : x
  2. Step 2: Convert to fraction form
    3,944.71/5,915.24 = 1,477.76/x
  3. Step 3: Cross multiply
    3,944.71x = 5,915.24 × 1,477.76
  4. Step 4: Simplify right side
    3,944.71x = 8,741,297.67
  5. Step 5: Solve for x
    x = 8,741,297.67/3,944.71
  6. Step 6: Final answer
    x = 2,215.96

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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.