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Finding the Fourth Proportional to 3,809.70, 5,714.55 and 3,183.30

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Solution

The fourth proportional to 3,809.70, 5,714.55 and 3,183.30 is: 4,774.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.70 : 5,714.55 = 3,183.30 : x
  2. Step 2: Convert to fraction form
    3,809.70/5,714.55 = 3,183.30/x
  3. Step 3: Cross multiply
    3,809.70x = 5,714.55 × 3,183.30
  4. Step 4: Simplify right side
    3,809.70x = 18,191,127.02
  5. Step 5: Solve for x
    x = 18,191,127.02/3,809.70
  6. Step 6: Final answer
    x = 4,774.95

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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.