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Finding the Fourth Proportional to 3,995.94, 5,994.30 and 1,074.30

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Solution

The fourth proportional to 3,995.94, 5,994.30 and 1,074.30 is: 1,611.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,995.94 : 5,994.30 = 1,074.30 : x
  2. Step 2: Convert to fraction form
    3,995.94/5,994.30 = 1,074.30/x
  3. Step 3: Cross multiply
    3,995.94x = 5,994.30 × 1,074.30
  4. Step 4: Simplify right side
    3,995.94x = 6,439,676.49
  5. Step 5: Solve for x
    x = 6,439,676.49/3,995.94
  6. Step 6: Final answer
    x = 1,611.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.