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Finding the Fourth Proportional to 5,455.56, 8,181.72 and 1,992

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Solution

The fourth proportional to 5,455.56, 8,181.72 and 1,992 is: 2,987.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,455.56 : 8,181.72 = 1,992 : x
  2. Step 2: Convert to fraction form
    5,455.56/8,181.72 = 1,992/x
  3. Step 3: Cross multiply
    5,455.56x = 8,181.72 × 1,992
  4. Step 4: Simplify right side
    5,455.56x = 16,297,986.24
  5. Step 5: Solve for x
    x = 16,297,986.24/5,455.56
  6. Step 6: Final answer
    x = 2,987.41

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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.