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Finding the Fourth Proportional to 3,997.70, 5,996.58 and 1,400.66

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Solution

The fourth proportional to 3,997.70, 5,996.58 and 1,400.66 is: 2,101.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.70 : 5,996.58 = 1,400.66 : x
  2. Step 2: Convert to fraction form
    3,997.70/5,996.58 = 1,400.66/x
  3. Step 3: Cross multiply
    3,997.70x = 5,996.58 × 1,400.66
  4. Step 4: Simplify right side
    3,997.70x = 8,399,169.74
  5. Step 5: Solve for x
    x = 8,399,169.74/3,997.70
  6. Step 6: Final answer
    x = 2,101.00

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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.