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Finding the Fourth Proportional to 3,811.87, 5,714.88 and 1,936.22

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Solution

The fourth proportional to 3,811.87, 5,714.88 and 1,936.22 is: 2,902.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811.87 : 5,714.88 = 1,936.22 : x
  2. Step 2: Convert to fraction form
    3,811.87/5,714.88 = 1,936.22/x
  3. Step 3: Cross multiply
    3,811.87x = 5,714.88 × 1,936.22
  4. Step 4: Simplify right side
    3,811.87x = 11,065,267.04
  5. Step 5: Solve for x
    x = 11,065,267.04/3,811.87
  6. Step 6: Final answer
    x = 2,902.84

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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.