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Finding the Fourth Proportional to 3,792.44, 5,672.22 and 2,228.72

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Solution

The fourth proportional to 3,792.44, 5,672.22 and 2,228.72 is: 3,333.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.44 : 5,672.22 = 2,228.72 : x
  2. Step 2: Convert to fraction form
    3,792.44/5,672.22 = 2,228.72/x
  3. Step 3: Cross multiply
    3,792.44x = 5,672.22 × 2,228.72
  4. Step 4: Simplify right side
    3,792.44x = 12,641,790.16
  5. Step 5: Solve for x
    x = 12,641,790.16/3,792.44
  6. Step 6: Final answer
    x = 3,333.42

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1.5x scale

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.