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Finding the Fourth Proportional to 5,427.75, 8,137.04 and 2,143.20

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Solution

The fourth proportional to 5,427.75, 8,137.04 and 2,143.20 is: 3,212.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,427.75 : 8,137.04 = 2,143.20 : x
  2. Step 2: Convert to fraction form
    5,427.75/8,137.04 = 2,143.20/x
  3. Step 3: Cross multiply
    5,427.75x = 8,137.04 × 2,143.20
  4. Step 4: Simplify right side
    5,427.75x = 17,439,293.41
  5. Step 5: Solve for x
    x = 17,439,293.41/5,427.75
  6. Step 6: Final answer
    x = 3,212.99

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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.