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Finding the Fourth Proportional to 4,512.83, 6,771.83 and 2,432.82

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Solution

The fourth proportional to 4,512.83, 6,771.83 and 2,432.82 is: 3,650.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,512.83 : 6,771.83 = 2,432.82 : x
  2. Step 2: Convert to fraction form
    4,512.83/6,771.83 = 2,432.82/x
  3. Step 3: Cross multiply
    4,512.83x = 6,771.83 × 2,432.82
  4. Step 4: Simplify right side
    4,512.83x = 16,474,631.30
  5. Step 5: Solve for x
    x = 16,474,631.30/4,512.83
  6. Step 6: Final answer
    x = 3,650.62

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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.