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Finding the Fourth Proportional to 3,771.54, 5,657.64 and 998.16

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Solution

The fourth proportional to 3,771.54, 5,657.64 and 998.16 is: 1,497.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.54 : 5,657.64 = 998.16 : x
  2. Step 2: Convert to fraction form
    3,771.54/5,657.64 = 998.16/x
  3. Step 3: Cross multiply
    3,771.54x = 5,657.64 × 998.16
  4. Step 4: Simplify right side
    3,771.54x = 5,647,229.94
  5. Step 5: Solve for x
    x = 5,647,229.94/3,771.54
  6. Step 6: Final answer
    x = 1,497.33

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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.