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Finding the Fourth Proportional to 3,991, 5,997.48 and 3,742.24

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Solution

The fourth proportional to 3,991, 5,997.48 and 3,742.24 is: 5,623.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,991 : 5,997.48 = 3,742.24 : x
  2. Step 2: Convert to fraction form
    3,991/5,997.48 = 3,742.24/x
  3. Step 3: Cross multiply
    3,991x = 5,997.48 × 3,742.24
  4. Step 4: Simplify right side
    3,991x = 22,444,009.56
  5. Step 5: Solve for x
    x = 22,444,009.56/3,991
  6. Step 6: Final answer
    x = 5,623.66

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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.