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Finding the Fourth Proportional to 5,742.26, 7,924.40 and 3,224.91

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Solution

The fourth proportional to 5,742.26, 7,924.40 and 3,224.91 is: 4,450.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.26 : 7,924.40 = 3,224.91 : x
  2. Step 2: Convert to fraction form
    5,742.26/7,924.40 = 3,224.91/x
  3. Step 3: Cross multiply
    5,742.26x = 7,924.40 × 3,224.91
  4. Step 4: Simplify right side
    5,742.26x = 25,555,460.68
  5. Step 5: Solve for x
    x = 25,555,460.68/5,742.26
  6. Step 6: Final answer
    x = 4,450.42

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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.