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Finding the Fourth Proportional to 4,909.67, 6,774.39 and 4,162.44

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Solution

The fourth proportional to 4,909.67, 6,774.39 and 4,162.44 is: 5,743.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909.67 : 6,774.39 = 4,162.44 : x
  2. Step 2: Convert to fraction form
    4,909.67/6,774.39 = 4,162.44/x
  3. Step 3: Cross multiply
    4,909.67x = 6,774.39 × 4,162.44
  4. Step 4: Simplify right side
    4,909.67x = 28,197,991.91
  5. Step 5: Solve for x
    x = 28,197,991.91/4,909.67
  6. Step 6: Final answer
    x = 5,743.36

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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.