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Finding the Fourth Proportional to 3,998.21, 5,997.65 and 1,076.67

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Solution

The fourth proportional to 3,998.21, 5,997.65 and 1,076.67 is: 1,615.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.21 : 5,997.65 = 1,076.67 : x
  2. Step 2: Convert to fraction form
    3,998.21/5,997.65 = 1,076.67/x
  3. Step 3: Cross multiply
    3,998.21x = 5,997.65 × 1,076.67
  4. Step 4: Simplify right side
    3,998.21x = 6,457,484.44
  5. Step 5: Solve for x
    x = 6,457,484.44/3,998.21
  6. Step 6: Final answer
    x = 1,615.10

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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.