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Finding the Fourth Proportional to 5,905.99, 8,149.23 and 3,636.57

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Solution

The fourth proportional to 5,905.99, 8,149.23 and 3,636.57 is: 5,017.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,905.99 : 8,149.23 = 3,636.57 : x
  2. Step 2: Convert to fraction form
    5,905.99/8,149.23 = 3,636.57/x
  3. Step 3: Cross multiply
    5,905.99x = 8,149.23 × 3,636.57
  4. Step 4: Simplify right side
    5,905.99x = 29,635,245.34
  5. Step 5: Solve for x
    x = 29,635,245.34/5,905.99
  6. Step 6: Final answer
    x = 5,017.83

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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.