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Finding the Fourth Proportional to 5,383.98, 8,082.45 and 3,206.70

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Solution

The fourth proportional to 5,383.98, 8,082.45 and 3,206.70 is: 4,813.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,383.98 : 8,082.45 = 3,206.70 : x
  2. Step 2: Convert to fraction form
    5,383.98/8,082.45 = 3,206.70/x
  3. Step 3: Cross multiply
    5,383.98x = 8,082.45 × 3,206.70
  4. Step 4: Simplify right side
    5,383.98x = 25,917,992.42
  5. Step 5: Solve for x
    x = 25,917,992.42/5,383.98
  6. Step 6: Final answer
    x = 4,813.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.