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Finding the Fourth Proportional to 5,814.36, 8,025.92 and 3,579.22

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Solution

The fourth proportional to 5,814.36, 8,025.92 and 3,579.22 is: 4,940.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,814.36 : 8,025.92 = 3,579.22 : x
  2. Step 2: Convert to fraction form
    5,814.36/8,025.92 = 3,579.22/x
  3. Step 3: Cross multiply
    5,814.36x = 8,025.92 × 3,579.22
  4. Step 4: Simplify right side
    5,814.36x = 28,726,533.38
  5. Step 5: Solve for x
    x = 28,726,533.38/5,814.36
  6. Step 6: Final answer
    x = 4,940.62

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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.