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Finding the Fourth Proportional to 4,142.46, 6,213.79 and 1,369.37

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Solution

The fourth proportional to 4,142.46, 6,213.79 and 1,369.37 is: 2,054.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142.46 : 6,213.79 = 1,369.37 : x
  2. Step 2: Convert to fraction form
    4,142.46/6,213.79 = 1,369.37/x
  3. Step 3: Cross multiply
    4,142.46x = 6,213.79 × 1,369.37
  4. Step 4: Simplify right side
    4,142.46x = 8,508,977.61
  5. Step 5: Solve for x
    x = 8,508,977.61/4,142.46
  6. Step 6: Final answer
    x = 2,054.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.