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Finding the Fourth Proportional to 5,956.57, 8,223.81 and 3,835.80

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Solution

The fourth proportional to 5,956.57, 8,223.81 and 3,835.80 is: 5,295.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,956.57 : 8,223.81 = 3,835.80 : x
  2. Step 2: Convert to fraction form
    5,956.57/8,223.81 = 3,835.80/x
  3. Step 3: Cross multiply
    5,956.57x = 8,223.81 × 3,835.80
  4. Step 4: Simplify right side
    5,956.57x = 31,544,890.40
  5. Step 5: Solve for x
    x = 31,544,890.40/5,956.57
  6. Step 6: Final answer
    x = 5,295.81

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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.