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Finding the Fourth Proportional to 3,841.67, 5,302.02 and 2,163.41

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Solution

The fourth proportional to 3,841.67, 5,302.02 and 2,163.41 is: 2,985.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.67 : 5,302.02 = 2,163.41 : x
  2. Step 2: Convert to fraction form
    3,841.67/5,302.02 = 2,163.41/x
  3. Step 3: Cross multiply
    3,841.67x = 5,302.02 × 2,163.41
  4. Step 4: Simplify right side
    3,841.67x = 11,470,443.09
  5. Step 5: Solve for x
    x = 11,470,443.09/3,841.67
  6. Step 6: Final answer
    x = 2,985.80

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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.