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Finding the Fourth Proportional to 5,741.44, 7,923.20 and 3,257.44

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Solution

The fourth proportional to 5,741.44, 7,923.20 and 3,257.44 is: 4,495.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.44 : 7,923.20 = 3,257.44 : x
  2. Step 2: Convert to fraction form
    5,741.44/7,923.20 = 3,257.44/x
  3. Step 3: Cross multiply
    5,741.44x = 7,923.20 × 3,257.44
  4. Step 4: Simplify right side
    5,741.44x = 25,809,312.51
  5. Step 5: Solve for x
    x = 25,809,312.51/5,741.44
  6. Step 6: Final answer
    x = 4,495.27

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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.