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Finding the Fourth Proportional to 3,792.97, 5,698.77 and 3,583.18

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Solution

The fourth proportional to 3,792.97, 5,698.77 and 3,583.18 is: 5,383.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.97 : 5,698.77 = 3,583.18 : x
  2. Step 2: Convert to fraction form
    3,792.97/5,698.77 = 3,583.18/x
  3. Step 3: Cross multiply
    3,792.97x = 5,698.77 × 3,583.18
  4. Step 4: Simplify right side
    3,792.97x = 20,419,718.69
  5. Step 5: Solve for x
    x = 20,419,718.69/3,792.97
  6. Step 6: Final answer
    x = 5,383.57

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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.