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Finding the Fourth Proportional to 4,296.85, 6,443.15 and 2,213.73

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Solution

The fourth proportional to 4,296.85, 6,443.15 and 2,213.73 is: 3,319.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.85 : 6,443.15 = 2,213.73 : x
  2. Step 2: Convert to fraction form
    4,296.85/6,443.15 = 2,213.73/x
  3. Step 3: Cross multiply
    4,296.85x = 6,443.15 × 2,213.73
  4. Step 4: Simplify right side
    4,296.85x = 14,263,383.38
  5. Step 5: Solve for x
    x = 14,263,383.38/4,296.85
  6. Step 6: Final answer
    x = 3,319.50

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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.