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Finding the Fourth Proportional to 3,998.67, 5,997.56 and 1,077.21

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Solution

The fourth proportional to 3,998.67, 5,997.56 and 1,077.21 is: 1,615.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.67 : 5,997.56 = 1,077.21 : x
  2. Step 2: Convert to fraction form
    3,998.67/5,997.56 = 1,077.21/x
  3. Step 3: Cross multiply
    3,998.67x = 5,997.56 × 1,077.21
  4. Step 4: Simplify right side
    3,998.67x = 6,460,626.22
  5. Step 5: Solve for x
    x = 6,460,626.22/3,998.67
  6. Step 6: Final answer
    x = 1,615.69

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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.