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Finding the Fourth Proportional to 3,367.54, 5,049.42 and 1,176.22

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Solution

The fourth proportional to 3,367.54, 5,049.42 and 1,176.22 is: 1,763.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,367.54 : 5,049.42 = 1,176.22 : x
  2. Step 2: Convert to fraction form
    3,367.54/5,049.42 = 1,176.22/x
  3. Step 3: Cross multiply
    3,367.54x = 5,049.42 × 1,176.22
  4. Step 4: Simplify right side
    3,367.54x = 5,939,228.79
  5. Step 5: Solve for x
    x = 5,939,228.79/3,367.54
  6. Step 6: Final answer
    x = 1,763.67

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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.