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Finding the Fourth Proportional to 5,820.96, 8,032.92 and 3,168.39

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Solution

The fourth proportional to 5,820.96, 8,032.92 and 3,168.39 is: 4,372.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,820.96 : 8,032.92 = 3,168.39 : x
  2. Step 2: Convert to fraction form
    5,820.96/8,032.92 = 3,168.39/x
  3. Step 3: Cross multiply
    5,820.96x = 8,032.92 × 3,168.39
  4. Step 4: Simplify right side
    5,820.96x = 25,451,383.23
  5. Step 5: Solve for x
    x = 25,451,383.23/5,820.96
  6. Step 6: Final answer
    x = 4,372.37

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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.