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Finding the Fourth Proportional to 3,997.16, 5,994.90 and 1,074.77

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Solution

The fourth proportional to 3,997.16, 5,994.90 and 1,074.77 is: 1,611.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.16 : 5,994.90 = 1,074.77 : x
  2. Step 2: Convert to fraction form
    3,997.16/5,994.90 = 1,074.77/x
  3. Step 3: Cross multiply
    3,997.16x = 5,994.90 × 1,074.77
  4. Step 4: Simplify right side
    3,997.16x = 6,443,108.70
  5. Step 5: Solve for x
    x = 6,443,108.70/3,997.16
  6. Step 6: Final answer
    x = 1,611.92

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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.