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Finding the Fourth Proportional to 5,857.55, 8,083.29 and 3,204.90

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Solution

The fourth proportional to 5,857.55, 8,083.29 and 3,204.90 is: 4,422.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857.55 : 8,083.29 = 3,204.90 : x
  2. Step 2: Convert to fraction form
    5,857.55/8,083.29 = 3,204.90/x
  3. Step 3: Cross multiply
    5,857.55x = 8,083.29 × 3,204.90
  4. Step 4: Simplify right side
    5,857.55x = 25,906,148.14
  5. Step 5: Solve for x
    x = 25,906,148.14/5,857.55
  6. Step 6: Final answer
    x = 4,422.69

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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.