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Finding the Fourth Proportional to 5,740.75, 7,922.69 and 3,223.03

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Solution

The fourth proportional to 5,740.75, 7,922.69 and 3,223.03 is: 4,448.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740.75 : 7,922.69 = 3,223.03 : x
  2. Step 2: Convert to fraction form
    5,740.75/7,922.69 = 3,223.03/x
  3. Step 3: Cross multiply
    5,740.75x = 7,922.69 × 3,223.03
  4. Step 4: Simplify right side
    5,740.75x = 25,535,054.42
  5. Step 5: Solve for x
    x = 25,535,054.42/5,740.75
  6. Step 6: Final answer
    x = 4,448.03

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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.