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Finding the Fourth Proportional to 3,842.69, 5,302.44 and 2,163.83

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Solution

The fourth proportional to 3,842.69, 5,302.44 and 2,163.83 is: 2,985.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.69 : 5,302.44 = 2,163.83 : x
  2. Step 2: Convert to fraction form
    3,842.69/5,302.44 = 2,163.83/x
  3. Step 3: Cross multiply
    3,842.69x = 5,302.44 × 2,163.83
  4. Step 4: Simplify right side
    3,842.69x = 11,473,578.75
  5. Step 5: Solve for x
    x = 11,473,578.75/3,842.69
  6. Step 6: Final answer
    x = 2,985.82

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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.