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Finding the Fourth Proportional to 5,344.69, 8,016.18 and 1,448.23

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Solution

The fourth proportional to 5,344.69, 8,016.18 and 1,448.23 is: 2,172.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,344.69 : 8,016.18 = 1,448.23 : x
  2. Step 2: Convert to fraction form
    5,344.69/8,016.18 = 1,448.23/x
  3. Step 3: Cross multiply
    5,344.69x = 8,016.18 × 1,448.23
  4. Step 4: Simplify right side
    5,344.69x = 11,609,272.36
  5. Step 5: Solve for x
    x = 11,609,272.36/5,344.69
  6. Step 6: Final answer
    x = 2,172.11

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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.