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Finding the Fourth Proportional to 3,846.05, 5,770.42 and 1,213.97

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Solution

The fourth proportional to 3,846.05, 5,770.42 and 1,213.97 is: 1,821.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.05 : 5,770.42 = 1,213.97 : x
  2. Step 2: Convert to fraction form
    3,846.05/5,770.42 = 1,213.97/x
  3. Step 3: Cross multiply
    3,846.05x = 5,770.42 × 1,213.97
  4. Step 4: Simplify right side
    3,846.05x = 7,005,089.43
  5. Step 5: Solve for x
    x = 7,005,089.43/3,846.05
  6. Step 6: Final answer
    x = 1,821.37

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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.