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Finding the Fourth Proportional to 3,467.67, 4,782.27 and 2,289.93

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Solution

The fourth proportional to 3,467.67, 4,782.27 and 2,289.93 is: 3,158.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.67 : 4,782.27 = 2,289.93 : x
  2. Step 2: Convert to fraction form
    3,467.67/4,782.27 = 2,289.93/x
  3. Step 3: Cross multiply
    3,467.67x = 4,782.27 × 2,289.93
  4. Step 4: Simplify right side
    3,467.67x = 10,951,052.09
  5. Step 5: Solve for x
    x = 10,951,052.09/3,467.67
  6. Step 6: Final answer
    x = 3,158.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.