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Finding the Fourth Proportional to 6,395.50, 8,825.97 and 3,601

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Solution

The fourth proportional to 6,395.50, 8,825.97 and 3,601 is: 4,969.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,395.50 : 8,825.97 = 3,601 : x
  2. Step 2: Convert to fraction form
    6,395.50/8,825.97 = 3,601/x
  3. Step 3: Cross multiply
    6,395.50x = 8,825.97 × 3,601
  4. Step 4: Simplify right side
    6,395.50x = 31,782,317.97
  5. Step 5: Solve for x
    x = 31,782,317.97/6,395.50
  6. Step 6: Final answer
    x = 4,969.48

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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.