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Finding the Fourth Proportional to 5,873.68, 8,105.79 and 3,221.29

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Solution

The fourth proportional to 5,873.68, 8,105.79 and 3,221.29 is: 4,445.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,873.68 : 8,105.79 = 3,221.29 : x
  2. Step 2: Convert to fraction form
    5,873.68/8,105.79 = 3,221.29/x
  3. Step 3: Cross multiply
    5,873.68x = 8,105.79 × 3,221.29
  4. Step 4: Simplify right side
    5,873.68x = 26,111,100.27
  5. Step 5: Solve for x
    x = 26,111,100.27/5,873.68
  6. Step 6: Final answer
    x = 4,445.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.