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Finding the Fourth Proportional to 3,792.52, 5,231.86 and 2,299.48

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Solution

The fourth proportional to 3,792.52, 5,231.86 and 2,299.48 is: 3,172.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.52 : 5,231.86 = 2,299.48 : x
  2. Step 2: Convert to fraction form
    3,792.52/5,231.86 = 2,299.48/x
  3. Step 3: Cross multiply
    3,792.52x = 5,231.86 × 2,299.48
  4. Step 4: Simplify right side
    3,792.52x = 12,030,557.43
  5. Step 5: Solve for x
    x = 12,030,557.43/3,792.52
  6. Step 6: Final answer
    x = 3,172.18

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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.