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Finding the Fourth Proportional to 3,994.08, 5,993.88 and 1,397

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Solution

The fourth proportional to 3,994.08, 5,993.88 and 1,397 is: 2,096.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,994.08 : 5,993.88 = 1,397 : x
  2. Step 2: Convert to fraction form
    3,994.08/5,993.88 = 1,397/x
  3. Step 3: Cross multiply
    3,994.08x = 5,993.88 × 1,397
  4. Step 4: Simplify right side
    3,994.08x = 8,373,450.36
  5. Step 5: Solve for x
    x = 8,373,450.36/3,994.08
  6. Step 6: Final answer
    x = 2,096.47

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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.