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Finding the Fourth Proportional to 5,857.83, 8,083.80 and 3,205.23

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Solution

The fourth proportional to 5,857.83, 8,083.80 and 3,205.23 is: 4,423.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857.83 : 8,083.80 = 3,205.23 : x
  2. Step 2: Convert to fraction form
    5,857.83/8,083.80 = 3,205.23/x
  3. Step 3: Cross multiply
    5,857.83x = 8,083.80 × 3,205.23
  4. Step 4: Simplify right side
    5,857.83x = 25,910,438.27
  5. Step 5: Solve for x
    x = 25,910,438.27/5,857.83
  6. Step 6: Final answer
    x = 4,423.21

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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.