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Finding the Fourth Proportional to 5,428.80, 8,138.55 and 5,170.44

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Solution

The fourth proportional to 5,428.80, 8,138.55 and 5,170.44 is: 7,751.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,428.80 : 8,138.55 = 5,170.44 : x
  2. Step 2: Convert to fraction form
    5,428.80/8,138.55 = 5,170.44/x
  3. Step 3: Cross multiply
    5,428.80x = 8,138.55 × 5,170.44
  4. Step 4: Simplify right side
    5,428.80x = 42,079,884.46
  5. Step 5: Solve for x
    x = 42,079,884.46/5,428.80
  6. Step 6: Final answer
    x = 7,751.23

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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.