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Finding the Fourth Proportional to 5,169.37, 7,744.27 and 3,054.67

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Solution

The fourth proportional to 5,169.37, 7,744.27 and 3,054.67 is: 4,576.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,169.37 : 7,744.27 = 3,054.67 : x
  2. Step 2: Convert to fraction form
    5,169.37/7,744.27 = 3,054.67/x
  3. Step 3: Cross multiply
    5,169.37x = 7,744.27 × 3,054.67
  4. Step 4: Simplify right side
    5,169.37x = 23,656,211.53
  5. Step 5: Solve for x
    x = 23,656,211.53/5,169.37
  6. Step 6: Final answer
    x = 4,576.23

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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.