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Finding the Fourth Proportional to 5,297.83, 7,951.97 and 3,976.99

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Solution

The fourth proportional to 5,297.83, 7,951.97 and 3,976.99 is: 5,969.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.83 : 7,951.97 = 3,976.99 : x
  2. Step 2: Convert to fraction form
    5,297.83/7,951.97 = 3,976.99/x
  3. Step 3: Cross multiply
    5,297.83x = 7,951.97 × 3,976.99
  4. Step 4: Simplify right side
    5,297.83x = 31,624,895.23
  5. Step 5: Solve for x
    x = 31,624,895.23/5,297.83
  6. Step 6: Final answer
    x = 5,969.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.