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Finding the Fourth Proportional to 5,873.92, 8,105.93 and 3,221.33

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Solution

The fourth proportional to 5,873.92, 8,105.93 and 3,221.33 is: 4,445.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,873.92 : 8,105.93 = 3,221.33 : x
  2. Step 2: Convert to fraction form
    5,873.92/8,105.93 = 3,221.33/x
  3. Step 3: Cross multiply
    5,873.92x = 8,105.93 × 3,221.33
  4. Step 4: Simplify right side
    5,873.92x = 26,111,875.49
  5. Step 5: Solve for x
    x = 26,111,875.49/5,873.92
  6. Step 6: Final answer
    x = 4,445.39

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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.