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Finding the Fourth Proportional to 3,638.53, 5,458.61 and 1,994.23

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Solution

The fourth proportional to 3,638.53, 5,458.61 and 1,994.23 is: 2,991.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.53 : 5,458.61 = 1,994.23 : x
  2. Step 2: Convert to fraction form
    3,638.53/5,458.61 = 1,994.23/x
  3. Step 3: Cross multiply
    3,638.53x = 5,458.61 × 1,994.23
  4. Step 4: Simplify right side
    3,638.53x = 10,885,720.67
  5. Step 5: Solve for x
    x = 10,885,720.67/3,638.53
  6. Step 6: Final answer
    x = 2,991.79

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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.