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Finding the Fourth Proportional to 5,441.78, 8,164.90 and 2,157.24

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Solution

The fourth proportional to 5,441.78, 8,164.90 and 2,157.24 is: 3,236.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,441.78 : 8,164.90 = 2,157.24 : x
  2. Step 2: Convert to fraction form
    5,441.78/8,164.90 = 2,157.24/x
  3. Step 3: Cross multiply
    5,441.78x = 8,164.90 × 2,157.24
  4. Step 4: Simplify right side
    5,441.78x = 17,613,648.88
  5. Step 5: Solve for x
    x = 17,613,648.88/5,441.78
  6. Step 6: Final answer
    x = 3,236.74

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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.