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Finding the Fourth Proportional to 3,745.26, 5,168.07 and 2,173.05

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Solution

The fourth proportional to 3,745.26, 5,168.07 and 2,173.05 is: 2,998.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.26 : 5,168.07 = 2,173.05 : x
  2. Step 2: Convert to fraction form
    3,745.26/5,168.07 = 2,173.05/x
  3. Step 3: Cross multiply
    3,745.26x = 5,168.07 × 2,173.05
  4. Step 4: Simplify right side
    3,745.26x = 11,230,474.51
  5. Step 5: Solve for x
    x = 11,230,474.51/3,745.26
  6. Step 6: Final answer
    x = 2,998.58

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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.