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Finding the Fourth Proportional to 3,841.84, 5,301.44 and 2,163.12

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Solution

The fourth proportional to 3,841.84, 5,301.44 and 2,163.12 is: 2,984.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.84 : 5,301.44 = 2,163.12 : x
  2. Step 2: Convert to fraction form
    3,841.84/5,301.44 = 2,163.12/x
  3. Step 3: Cross multiply
    3,841.84x = 5,301.44 × 2,163.12
  4. Step 4: Simplify right side
    3,841.84x = 11,467,650.89
  5. Step 5: Solve for x
    x = 11,467,650.89/3,841.84
  6. Step 6: Final answer
    x = 2,984.94

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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.