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Finding the Fourth Proportional to 6,214.92, 8,579.38 and 4,091.56

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Solution

The fourth proportional to 6,214.92, 8,579.38 and 4,091.56 is: 5,648.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.92 : 8,579.38 = 4,091.56 : x
  2. Step 2: Convert to fraction form
    6,214.92/8,579.38 = 4,091.56/x
  3. Step 3: Cross multiply
    6,214.92x = 8,579.38 × 4,091.56
  4. Step 4: Simplify right side
    6,214.92x = 35,103,048.03
  5. Step 5: Solve for x
    x = 35,103,048.03/6,214.92
  6. Step 6: Final answer
    x = 5,648.19

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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.