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Finding the Fourth Proportional to 5,450.40, 8,167.20 and 4,057.20

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Solution

The fourth proportional to 5,450.40, 8,167.20 and 4,057.20 is: 6,079.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,450.40 : 8,167.20 = 4,057.20 : x
  2. Step 2: Convert to fraction form
    5,450.40/8,167.20 = 4,057.20/x
  3. Step 3: Cross multiply
    5,450.40x = 8,167.20 × 4,057.20
  4. Step 4: Simplify right side
    5,450.40x = 33,135,963.84
  5. Step 5: Solve for x
    x = 33,135,963.84/5,450.40
  6. Step 6: Final answer
    x = 6,079.55

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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.