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Finding the Fourth Proportional to 4,568.43, 6,852.89 and 1,448.21

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Solution

The fourth proportional to 4,568.43, 6,852.89 and 1,448.21 is: 2,172.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,568.43 : 6,852.89 = 1,448.21 : x
  2. Step 2: Convert to fraction form
    4,568.43/6,852.89 = 1,448.21/x
  3. Step 3: Cross multiply
    4,568.43x = 6,852.89 × 1,448.21
  4. Step 4: Simplify right side
    4,568.43x = 9,924,413.63
  5. Step 5: Solve for x
    x = 9,924,413.63/4,568.43
  6. Step 6: Final answer
    x = 2,172.39

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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.