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Finding the Fourth Proportional to 4,185.80, 6,278.62 and 3,359.96

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Solution

The fourth proportional to 4,185.80, 6,278.62 and 3,359.96 is: 5,039.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,185.80 : 6,278.62 = 3,359.96 : x
  2. Step 2: Convert to fraction form
    4,185.80/6,278.62 = 3,359.96/x
  3. Step 3: Cross multiply
    4,185.80x = 6,278.62 × 3,359.96
  4. Step 4: Simplify right side
    4,185.80x = 21,095,912.06
  5. Step 5: Solve for x
    x = 21,095,912.06/4,185.80
  6. Step 6: Final answer
    x = 5,039.88

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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.