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Finding the Fourth Proportional to 5,294.38, 7,942.77 and 1,736.70

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Solution

The fourth proportional to 5,294.38, 7,942.77 and 1,736.70 is: 2,605.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.38 : 7,942.77 = 1,736.70 : x
  2. Step 2: Convert to fraction form
    5,294.38/7,942.77 = 1,736.70/x
  3. Step 3: Cross multiply
    5,294.38x = 7,942.77 × 1,736.70
  4. Step 4: Simplify right side
    5,294.38x = 13,794,208.66
  5. Step 5: Solve for x
    x = 13,794,208.66/5,294.38
  6. Step 6: Final answer
    x = 2,605.44

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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.