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Finding the Fourth Proportional to 3,994.30, 5,994.29 and 1,397.26

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Solution

The fourth proportional to 3,994.30, 5,994.29 and 1,397.26 is: 2,096.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,994.30 : 5,994.29 = 1,397.26 : x
  2. Step 2: Convert to fraction form
    3,994.30/5,994.29 = 1,397.26/x
  3. Step 3: Cross multiply
    3,994.30x = 5,994.29 × 1,397.26
  4. Step 4: Simplify right side
    3,994.30x = 8,375,581.65
  5. Step 5: Solve for x
    x = 8,375,581.65/3,994.30
  6. Step 6: Final answer
    x = 2,096.88

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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.