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Finding the Fourth Proportional to 5,741.36, 7,922.46 and 3,223.74

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Solution

The fourth proportional to 5,741.36, 7,922.46 and 3,223.74 is: 4,448.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.36 : 7,922.46 = 3,223.74 : x
  2. Step 2: Convert to fraction form
    5,741.36/7,922.46 = 3,223.74/x
  3. Step 3: Cross multiply
    5,741.36x = 7,922.46 × 3,223.74
  4. Step 4: Simplify right side
    5,741.36x = 25,539,993.00
  5. Step 5: Solve for x
    x = 25,539,993.00/5,741.36
  6. Step 6: Final answer
    x = 4,448.42

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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.