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Finding the Fourth Proportional to 3,841.82, 5,301.72 and 2,163.25

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Solution

The fourth proportional to 3,841.82, 5,301.72 and 2,163.25 is: 2,985.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.82 : 5,301.72 = 2,163.25 : x
  2. Step 2: Convert to fraction form
    3,841.82/5,301.72 = 2,163.25/x
  3. Step 3: Cross multiply
    3,841.82x = 5,301.72 × 2,163.25
  4. Step 4: Simplify right side
    3,841.82x = 11,468,945.79
  5. Step 5: Solve for x
    x = 11,468,945.79/3,841.82
  6. Step 6: Final answer
    x = 2,985.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.