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Finding the Fourth Proportional to 3,234.96, 4,463.20 and 1,909.12

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Solution

The fourth proportional to 3,234.96, 4,463.20 and 1,909.12 is: 2,633.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.96 : 4,463.20 = 1,909.12 : x
  2. Step 2: Convert to fraction form
    3,234.96/4,463.20 = 1,909.12/x
  3. Step 3: Cross multiply
    3,234.96x = 4,463.20 × 1,909.12
  4. Step 4: Simplify right side
    3,234.96x = 8,520,784.38
  5. Step 5: Solve for x
    x = 8,520,784.38/3,234.96
  6. Step 6: Final answer
    x = 2,633.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.