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Finding the Fourth Proportional to 3,846.06, 5,770.53 and 1,996.02

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Solution

The fourth proportional to 3,846.06, 5,770.53 and 1,996.02 is: 2,994.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.06 : 5,770.53 = 1,996.02 : x
  2. Step 2: Convert to fraction form
    3,846.06/5,770.53 = 1,996.02/x
  3. Step 3: Cross multiply
    3,846.06x = 5,770.53 × 1,996.02
  4. Step 4: Simplify right side
    3,846.06x = 11,518,093.29
  5. Step 5: Solve for x
    x = 11,518,093.29/3,846.06
  6. Step 6: Final answer
    x = 2,994.78

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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.