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Finding the Fourth Proportional to 3,842.57, 5,302.34 and 2,163.95

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Solution

The fourth proportional to 3,842.57, 5,302.34 and 2,163.95 is: 2,986.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.57 : 5,302.34 = 2,163.95 : x
  2. Step 2: Convert to fraction form
    3,842.57/5,302.34 = 2,163.95/x
  3. Step 3: Cross multiply
    3,842.57x = 5,302.34 × 2,163.95
  4. Step 4: Simplify right side
    3,842.57x = 11,473,983.22
  5. Step 5: Solve for x
    x = 11,473,983.22/3,842.57
  6. Step 6: Final answer
    x = 2,986.02

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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.