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Finding the Fourth Proportional to 3,722.93, 5,584.24 and 949.67

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Solution

The fourth proportional to 3,722.93, 5,584.24 and 949.67 is: 1,424.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.93 : 5,584.24 = 949.67 : x
  2. Step 2: Convert to fraction form
    3,722.93/5,584.24 = 949.67/x
  3. Step 3: Cross multiply
    3,722.93x = 5,584.24 × 949.67
  4. Step 4: Simplify right side
    3,722.93x = 5,303,200.35
  5. Step 5: Solve for x
    x = 5,303,200.35/3,722.93
  6. Step 6: Final answer
    x = 1,424.47

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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.