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Finding the Fourth Proportional to 4,691.50, 6,468.38 and 3,009.94

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Solution

The fourth proportional to 4,691.50, 6,468.38 and 3,009.94 is: 4,149.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.50 : 6,468.38 = 3,009.94 : x
  2. Step 2: Convert to fraction form
    4,691.50/6,468.38 = 3,009.94/x
  3. Step 3: Cross multiply
    4,691.50x = 6,468.38 × 3,009.94
  4. Step 4: Simplify right side
    4,691.50x = 19,469,403.36
  5. Step 5: Solve for x
    x = 19,469,403.36/4,691.50
  6. Step 6: Final answer
    x = 4,149.94

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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.