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Finding the Fourth Proportional to 4,668.94, 6,996.27 and 3,493.43

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Solution

The fourth proportional to 4,668.94, 6,996.27 and 3,493.43 is: 5,234.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.94 : 6,996.27 = 3,493.43 : x
  2. Step 2: Convert to fraction form
    4,668.94/6,996.27 = 3,493.43/x
  3. Step 3: Cross multiply
    4,668.94x = 6,996.27 × 3,493.43
  4. Step 4: Simplify right side
    4,668.94x = 24,440,983.86
  5. Step 5: Solve for x
    x = 24,440,983.86/4,668.94
  6. Step 6: Final answer
    x = 5,234.80

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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.