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Finding the Fourth Proportional to 5,824.28, 8,737.64 and 3,221.76

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Solution

The fourth proportional to 5,824.28, 8,737.64 and 3,221.76 is: 4,833.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824.28 : 8,737.64 = 3,221.76 : x
  2. Step 2: Convert to fraction form
    5,824.28/8,737.64 = 3,221.76/x
  3. Step 3: Cross multiply
    5,824.28x = 8,737.64 × 3,221.76
  4. Step 4: Simplify right side
    5,824.28x = 28,150,579.05
  5. Step 5: Solve for x
    x = 28,150,579.05/5,824.28
  6. Step 6: Final answer
    x = 4,833.31

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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.