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Finding the Fourth Proportional to 3,939.58, 5,910.23 and 1,166.47

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Solution

The fourth proportional to 3,939.58, 5,910.23 and 1,166.47 is: 1,749.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,939.58 : 5,910.23 = 1,166.47 : x
  2. Step 2: Convert to fraction form
    3,939.58/5,910.23 = 1,166.47/x
  3. Step 3: Cross multiply
    3,939.58x = 5,910.23 × 1,166.47
  4. Step 4: Simplify right side
    3,939.58x = 6,894,087.59
  5. Step 5: Solve for x
    x = 6,894,087.59/3,939.58
  6. Step 6: Final answer
    x = 1,749.96

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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.