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Finding the Fourth Proportional to 4,549.73, 6,817.31 and 4,112.33

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Solution

The fourth proportional to 4,549.73, 6,817.31 and 4,112.33 is: 6,161.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,549.73 : 6,817.31 = 4,112.33 : x
  2. Step 2: Convert to fraction form
    4,549.73/6,817.31 = 4,112.33/x
  3. Step 3: Cross multiply
    4,549.73x = 6,817.31 × 4,112.33
  4. Step 4: Simplify right side
    4,549.73x = 28,035,028.43
  5. Step 5: Solve for x
    x = 28,035,028.43/4,549.73
  6. Step 6: Final answer
    x = 6,161.91

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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.