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Finding the Fourth Proportional to 3,785.97, 5,224.38 and 2,369.60

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Solution

The fourth proportional to 3,785.97, 5,224.38 and 2,369.60 is: 3,269.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.97 : 5,224.38 = 2,369.60 : x
  2. Step 2: Convert to fraction form
    3,785.97/5,224.38 = 2,369.60/x
  3. Step 3: Cross multiply
    3,785.97x = 5,224.38 × 2,369.60
  4. Step 4: Simplify right side
    3,785.97x = 12,379,690.85
  5. Step 5: Solve for x
    x = 12,379,690.85/3,785.97
  6. Step 6: Final answer
    x = 3,269.89

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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.