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Finding the Fourth Proportional to 3,458.89, 5,189.24 and 993.91

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Solution

The fourth proportional to 3,458.89, 5,189.24 and 993.91 is: 1,491.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.89 : 5,189.24 = 993.91 : x
  2. Step 2: Convert to fraction form
    3,458.89/5,189.24 = 993.91/x
  3. Step 3: Cross multiply
    3,458.89x = 5,189.24 × 993.91
  4. Step 4: Simplify right side
    3,458.89x = 5,157,632.56
  5. Step 5: Solve for x
    x = 5,157,632.56/3,458.89
  6. Step 6: Final answer
    x = 1,491.12

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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.