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Finding the Fourth Proportional to 3,809.20, 5,714.21 and 1,211.53

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Solution

The fourth proportional to 3,809.20, 5,714.21 and 1,211.53 is: 1,817.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.20 : 5,714.21 = 1,211.53 : x
  2. Step 2: Convert to fraction form
    3,809.20/5,714.21 = 1,211.53/x
  3. Step 3: Cross multiply
    3,809.20x = 5,714.21 × 1,211.53
  4. Step 4: Simplify right side
    3,809.20x = 6,922,936.84
  5. Step 5: Solve for x
    x = 6,922,936.84/3,809.20
  6. Step 6: Final answer
    x = 1,817.43

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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.