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Finding the Fourth Proportional to 5,696.30, 7,849.23 and 4,201.85

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Solution

The fourth proportional to 5,696.30, 7,849.23 and 4,201.85 is: 5,789.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.30 : 7,849.23 = 4,201.85 : x
  2. Step 2: Convert to fraction form
    5,696.30/7,849.23 = 4,201.85/x
  3. Step 3: Cross multiply
    5,696.30x = 7,849.23 × 4,201.85
  4. Step 4: Simplify right side
    5,696.30x = 32,981,287.08
  5. Step 5: Solve for x
    x = 32,981,287.08/5,696.30
  6. Step 6: Final answer
    x = 5,789.95

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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.