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Finding the Fourth Proportional to 3,847.65, 5,771.66 and 1,997.60

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Solution

The fourth proportional to 3,847.65, 5,771.66 and 1,997.60 is: 2,996.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.65 : 5,771.66 = 1,997.60 : x
  2. Step 2: Convert to fraction form
    3,847.65/5,771.66 = 1,997.60/x
  3. Step 3: Cross multiply
    3,847.65x = 5,771.66 × 1,997.60
  4. Step 4: Simplify right side
    3,847.65x = 11,529,429.17
  5. Step 5: Solve for x
    x = 11,529,429.17/3,847.65
  6. Step 6: Final answer
    x = 2,996.49

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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.