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Finding the Fourth Proportional to 3,792.44, 5,233.83 and 2,300.42

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Solution

The fourth proportional to 3,792.44, 5,233.83 and 2,300.42 is: 3,174.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.44 : 5,233.83 = 2,300.42 : x
  2. Step 2: Convert to fraction form
    3,792.44/5,233.83 = 2,300.42/x
  3. Step 3: Cross multiply
    3,792.44x = 5,233.83 × 2,300.42
  4. Step 4: Simplify right side
    3,792.44x = 12,040,007.21
  5. Step 5: Solve for x
    x = 12,040,007.21/3,792.44
  6. Step 6: Final answer
    x = 3,174.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.