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Finding the Fourth Proportional to 4,255.79, 5,872.46 and 2,684.80

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Solution

The fourth proportional to 4,255.79, 5,872.46 and 2,684.80 is: 3,704.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,255.79 : 5,872.46 = 2,684.80 : x
  2. Step 2: Convert to fraction form
    4,255.79/5,872.46 = 2,684.80/x
  3. Step 3: Cross multiply
    4,255.79x = 5,872.46 × 2,684.80
  4. Step 4: Simplify right side
    4,255.79x = 15,766,352.50
  5. Step 5: Solve for x
    x = 15,766,352.50/4,255.79
  6. Step 6: Final answer
    x = 3,704.68

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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.