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Finding the Fourth Proportional to 5,857.55, 8,083.34 and 3,204.92

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Solution

The fourth proportional to 5,857.55, 8,083.34 and 3,204.92 is: 4,422.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857.55 : 8,083.34 = 3,204.92 : x
  2. Step 2: Convert to fraction form
    5,857.55/8,083.34 = 3,204.92/x
  3. Step 3: Cross multiply
    5,857.55x = 8,083.34 × 3,204.92
  4. Step 4: Simplify right side
    5,857.55x = 25,906,401.59
  5. Step 5: Solve for x
    x = 25,906,401.59/5,857.55
  6. Step 6: Final answer
    x = 4,422.74

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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.