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Finding the Fourth Proportional to 5,736.96, 7,917.36 and 3,379.29

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Solution

The fourth proportional to 5,736.96, 7,917.36 and 3,379.29 is: 4,663.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.96 : 7,917.36 = 3,379.29 : x
  2. Step 2: Convert to fraction form
    5,736.96/7,917.36 = 3,379.29/x
  3. Step 3: Cross multiply
    5,736.96x = 7,917.36 × 3,379.29
  4. Step 4: Simplify right side
    5,736.96x = 26,755,055.47
  5. Step 5: Solve for x
    x = 26,755,055.47/5,736.96
  6. Step 6: Final answer
    x = 4,663.63

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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.