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Finding the Fourth Proportional to 3,997.84, 5,996.77 and 1,400.78

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Solution

The fourth proportional to 3,997.84, 5,996.77 and 1,400.78 is: 2,101.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.84 : 5,996.77 = 1,400.78 : x
  2. Step 2: Convert to fraction form
    3,997.84/5,996.77 = 1,400.78/x
  3. Step 3: Cross multiply
    3,997.84x = 5,996.77 × 1,400.78
  4. Step 4: Simplify right side
    3,997.84x = 8,400,155.48
  5. Step 5: Solve for x
    x = 8,400,155.48/3,997.84
  6. Step 6: Final answer
    x = 2,101.17

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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.