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Finding the Fourth Proportional to 5,679.97, 7,835.82 and 3,321.07

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Solution

The fourth proportional to 5,679.97, 7,835.82 and 3,321.07 is: 4,581.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679.97 : 7,835.82 = 3,321.07 : x
  2. Step 2: Convert to fraction form
    5,679.97/7,835.82 = 3,321.07/x
  3. Step 3: Cross multiply
    5,679.97x = 7,835.82 × 3,321.07
  4. Step 4: Simplify right side
    5,679.97x = 26,023,306.73
  5. Step 5: Solve for x
    x = 26,023,306.73/5,679.97
  6. Step 6: Final answer
    x = 4,581.59

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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.