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Finding the Fourth Proportional to 3,842.46, 5,302.59 and 2,163.87

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Solution

The fourth proportional to 3,842.46, 5,302.59 and 2,163.87 is: 2,986.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.46 : 5,302.59 = 2,163.87 : x
  2. Step 2: Convert to fraction form
    3,842.46/5,302.59 = 2,163.87/x
  3. Step 3: Cross multiply
    3,842.46x = 5,302.59 × 2,163.87
  4. Step 4: Simplify right side
    3,842.46x = 11,474,115.42
  5. Step 5: Solve for x
    x = 11,474,115.42/3,842.46
  6. Step 6: Final answer
    x = 2,986.14

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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.