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Finding the Fourth Proportional to 5,736.91, 7,917.60 and 3,379

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Solution

The fourth proportional to 5,736.91, 7,917.60 and 3,379 is: 4,663.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.91 : 7,917.60 = 3,379 : x
  2. Step 2: Convert to fraction form
    5,736.91/7,917.60 = 3,379/x
  3. Step 3: Cross multiply
    5,736.91x = 7,917.60 × 3,379
  4. Step 4: Simplify right side
    5,736.91x = 26,753,570.40
  5. Step 5: Solve for x
    x = 26,753,570.40/5,736.91
  6. Step 6: Final answer
    x = 4,663.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.