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Finding the Fourth Proportional to 4,792.89, 6,578.84 and 4,257.21

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Solution

The fourth proportional to 4,792.89, 6,578.84 and 4,257.21 is: 5,843.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,792.89 : 6,578.84 = 4,257.21 : x
  2. Step 2: Convert to fraction form
    4,792.89/6,578.84 = 4,257.21/x
  3. Step 3: Cross multiply
    4,792.89x = 6,578.84 × 4,257.21
  4. Step 4: Simplify right side
    4,792.89x = 28,007,503.44
  5. Step 5: Solve for x
    x = 28,007,503.44/4,792.89
  6. Step 6: Final answer
    x = 5,843.55

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.