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Finding the Fourth Proportional to 5,857.66, 8,083.71 and 3,205.33

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Solution

The fourth proportional to 5,857.66, 8,083.71 and 3,205.33 is: 4,423.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857.66 : 8,083.71 = 3,205.33 : x
  2. Step 2: Convert to fraction form
    5,857.66/8,083.71 = 3,205.33/x
  3. Step 3: Cross multiply
    5,857.66x = 8,083.71 × 3,205.33
  4. Step 4: Simplify right side
    5,857.66x = 25,910,958.17
  5. Step 5: Solve for x
    x = 25,910,958.17/5,857.66
  6. Step 6: Final answer
    x = 4,423.43

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1.5x scale

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.