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Finding the Fourth Proportional to 3,842.34, 5,302.13 and 2,163.62

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Solution

The fourth proportional to 3,842.34, 5,302.13 and 2,163.62 is: 2,985.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.34 : 5,302.13 = 2,163.62 : x
  2. Step 2: Convert to fraction form
    3,842.34/5,302.13 = 2,163.62/x
  3. Step 3: Cross multiply
    3,842.34x = 5,302.13 × 2,163.62
  4. Step 4: Simplify right side
    3,842.34x = 11,471,794.51
  5. Step 5: Solve for x
    x = 11,471,794.51/3,842.34
  6. Step 6: Final answer
    x = 2,985.63

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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.