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Finding the Fourth Proportional to 5,343.85, 8,015.73 and 1,448.23

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Solution

The fourth proportional to 5,343.85, 8,015.73 and 1,448.23 is: 2,172.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,343.85 : 8,015.73 = 1,448.23 : x
  2. Step 2: Convert to fraction form
    5,343.85/8,015.73 = 1,448.23/x
  3. Step 3: Cross multiply
    5,343.85x = 8,015.73 × 1,448.23
  4. Step 4: Simplify right side
    5,343.85x = 11,608,620.66
  5. Step 5: Solve for x
    x = 11,608,620.66/5,343.85
  6. Step 6: Final answer
    x = 2,172.33

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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.