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Finding the Fourth Proportional to 3,449.44, 5,161.20 and 3,106

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Solution

The fourth proportional to 3,449.44, 5,161.20 and 3,106 is: 4,647.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.44 : 5,161.20 = 3,106 : x
  2. Step 2: Convert to fraction form
    3,449.44/5,161.20 = 3,106/x
  3. Step 3: Cross multiply
    3,449.44x = 5,161.20 × 3,106
  4. Step 4: Simplify right side
    3,449.44x = 16,030,687.20
  5. Step 5: Solve for x
    x = 16,030,687.20/3,449.44
  6. Step 6: Final answer
    x = 4,647.33

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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.