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Finding the Fourth Proportional to 3,219.62, 4,827.24 and 2,120.63

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Solution

The fourth proportional to 3,219.62, 4,827.24 and 2,120.63 is: 3,179.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.62 : 4,827.24 = 2,120.63 : x
  2. Step 2: Convert to fraction form
    3,219.62/4,827.24 = 2,120.63/x
  3. Step 3: Cross multiply
    3,219.62x = 4,827.24 × 2,120.63
  4. Step 4: Simplify right side
    3,219.62x = 10,236,765.83
  5. Step 5: Solve for x
    x = 10,236,765.83/3,219.62
  6. Step 6: Final answer
    x = 3,179.50

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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.