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Finding the Fourth Proportional to 5,892.22, 8,131.20 and 3,203.42

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Solution

The fourth proportional to 5,892.22, 8,131.20 and 3,203.42 is: 4,420.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892.22 : 8,131.20 = 3,203.42 : x
  2. Step 2: Convert to fraction form
    5,892.22/8,131.20 = 3,203.42/x
  3. Step 3: Cross multiply
    5,892.22x = 8,131.20 × 3,203.42
  4. Step 4: Simplify right side
    5,892.22x = 26,047,648.70
  5. Step 5: Solve for x
    x = 26,047,648.70/5,892.22
  6. Step 6: Final answer
    x = 4,420.69

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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.