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Finding the Fourth Proportional to 4,114, 5,673 and 3,046.96

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Solution

The fourth proportional to 4,114, 5,673 and 3,046.96 is: 4,201.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114 : 5,673 = 3,046.96 : x
  2. Step 2: Convert to fraction form
    4,114/5,673 = 3,046.96/x
  3. Step 3: Cross multiply
    4,114x = 5,673 × 3,046.96
  4. Step 4: Simplify right side
    4,114x = 17,285,404.08
  5. Step 5: Solve for x
    x = 17,285,404.08/4,114
  6. Step 6: Final answer
    x = 4,201.61

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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.