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Finding the Fourth Proportional to 3,842.54, 5,302.65 and 2,163.97

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Solution

The fourth proportional to 3,842.54, 5,302.65 and 2,163.97 is: 2,986.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.54 : 5,302.65 = 2,163.97 : x
  2. Step 2: Convert to fraction form
    3,842.54/5,302.65 = 2,163.97/x
  3. Step 3: Cross multiply
    3,842.54x = 5,302.65 × 2,163.97
  4. Step 4: Simplify right side
    3,842.54x = 11,474,749.01
  5. Step 5: Solve for x
    x = 11,474,749.01/3,842.54
  6. Step 6: Final answer
    x = 2,986.24

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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.