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Finding the Fourth Proportional to 5,448.64, 8,172.96 and 1,344.64

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Solution

The fourth proportional to 5,448.64, 8,172.96 and 1,344.64 is: 2,016.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,448.64 : 8,172.96 = 1,344.64 : x
  2. Step 2: Convert to fraction form
    5,448.64/8,172.96 = 1,344.64/x
  3. Step 3: Cross multiply
    5,448.64x = 8,172.96 × 1,344.64
  4. Step 4: Simplify right side
    5,448.64x = 10,989,688.93
  5. Step 5: Solve for x
    x = 10,989,688.93/5,448.64
  6. Step 6: Final answer
    x = 2,016.96

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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.