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Finding the Fourth Proportional to 4,517.22, 6,776.46 and 1,397.49

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Solution

The fourth proportional to 4,517.22, 6,776.46 and 1,397.49 is: 2,096.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,517.22 : 6,776.46 = 1,397.49 : x
  2. Step 2: Convert to fraction form
    4,517.22/6,776.46 = 1,397.49/x
  3. Step 3: Cross multiply
    4,517.22x = 6,776.46 × 1,397.49
  4. Step 4: Simplify right side
    4,517.22x = 9,470,035.09
  5. Step 5: Solve for x
    x = 9,470,035.09/4,517.22
  6. Step 6: Final answer
    x = 2,096.43

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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.