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Finding the Fourth Proportional to 3,794.24, 5,691.20 and 1,329.62

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Solution

The fourth proportional to 3,794.24, 5,691.20 and 1,329.62 is: 1,994.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.24 : 5,691.20 = 1,329.62 : x
  2. Step 2: Convert to fraction form
    3,794.24/5,691.20 = 1,329.62/x
  3. Step 3: Cross multiply
    3,794.24x = 5,691.20 × 1,329.62
  4. Step 4: Simplify right side
    3,794.24x = 7,567,133.34
  5. Step 5: Solve for x
    x = 7,567,133.34/3,794.24
  6. Step 6: Final answer
    x = 1,994.37

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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.