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Finding the Fourth Proportional to 3,229.88, 4,845.76 and 1,586.92

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Solution

The fourth proportional to 3,229.88, 4,845.76 and 1,586.92 is: 2,380.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.88 : 4,845.76 = 1,586.92 : x
  2. Step 2: Convert to fraction form
    3,229.88/4,845.76 = 1,586.92/x
  3. Step 3: Cross multiply
    3,229.88x = 4,845.76 × 1,586.92
  4. Step 4: Simplify right side
    3,229.88x = 7,689,833.46
  5. Step 5: Solve for x
    x = 7,689,833.46/3,229.88
  6. Step 6: Final answer
    x = 2,380.84

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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.