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Finding the Fourth Proportional to 3,819.34, 5,699.69 and 3,797.44

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Solution

The fourth proportional to 3,819.34, 5,699.69 and 3,797.44 is: 5,667.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,819.34 : 5,699.69 = 3,797.44 : x
  2. Step 2: Convert to fraction form
    3,819.34/5,699.69 = 3,797.44/x
  3. Step 3: Cross multiply
    3,819.34x = 5,699.69 × 3,797.44
  4. Step 4: Simplify right side
    3,819.34x = 21,644,230.79
  5. Step 5: Solve for x
    x = 21,644,230.79/3,819.34
  6. Step 6: Final answer
    x = 5,667.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.