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Finding the Fourth Proportional to 5,769.02, 8,640.98 and 3,792.42

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Solution

The fourth proportional to 5,769.02, 8,640.98 and 3,792.42 is: 5,680.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.02 : 8,640.98 = 3,792.42 : x
  2. Step 2: Convert to fraction form
    5,769.02/8,640.98 = 3,792.42/x
  3. Step 3: Cross multiply
    5,769.02x = 8,640.98 × 3,792.42
  4. Step 4: Simplify right side
    5,769.02x = 32,770,220.63
  5. Step 5: Solve for x
    x = 32,770,220.63/5,769.02
  6. Step 6: Final answer
    x = 5,680.38

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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.