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Finding the Fourth Proportional to 3,735.22, 5,601 and 2,175.77

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Solution

The fourth proportional to 3,735.22, 5,601 and 2,175.77 is: 3,262.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.22 : 5,601 = 2,175.77 : x
  2. Step 2: Convert to fraction form
    3,735.22/5,601 = 2,175.77/x
  3. Step 3: Cross multiply
    3,735.22x = 5,601 × 2,175.77
  4. Step 4: Simplify right side
    3,735.22x = 12,186,487.77
  5. Step 5: Solve for x
    x = 12,186,487.77/3,735.22
  6. Step 6: Final answer
    x = 3,262.59

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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.