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Finding the Fourth Proportional to 3,722, 5,137.62 and 2,605.27

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Solution

The fourth proportional to 3,722, 5,137.62 and 2,605.27 is: 3,596.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722 : 5,137.62 = 2,605.27 : x
  2. Step 2: Convert to fraction form
    3,722/5,137.62 = 2,605.27/x
  3. Step 3: Cross multiply
    3,722x = 5,137.62 × 2,605.27
  4. Step 4: Simplify right side
    3,722x = 13,384,887.26
  5. Step 5: Solve for x
    x = 13,384,887.26/3,722
  6. Step 6: Final answer
    x = 3,596.15

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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.