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Finding the Fourth Proportional to 3,792.70, 5,701.20 and 2,704.60

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Solution

The fourth proportional to 3,792.70, 5,701.20 and 2,704.60 is: 4,065.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.70 : 5,701.20 = 2,704.60 : x
  2. Step 2: Convert to fraction form
    3,792.70/5,701.20 = 2,704.60/x
  3. Step 3: Cross multiply
    3,792.70x = 5,701.20 × 2,704.60
  4. Step 4: Simplify right side
    3,792.70x = 15,419,465.52
  5. Step 5: Solve for x
    x = 15,419,465.52/3,792.70
  6. Step 6: Final answer
    x = 4,065.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.