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Finding the Fourth Proportional to 4,792.75, 7,199.61 and 3,414.94

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Solution

The fourth proportional to 4,792.75, 7,199.61 and 3,414.94 is: 5,129.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,792.75 : 7,199.61 = 3,414.94 : x
  2. Step 2: Convert to fraction form
    4,792.75/7,199.61 = 3,414.94/x
  3. Step 3: Cross multiply
    4,792.75x = 7,199.61 × 3,414.94
  4. Step 4: Simplify right side
    4,792.75x = 24,586,265.08
  5. Step 5: Solve for x
    x = 24,586,265.08/4,792.75
  6. Step 6: Final answer
    x = 5,129.88

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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.