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Finding the Fourth Proportional to 3,959.72, 5,939.62 and 1,185.74

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Solution

The fourth proportional to 3,959.72, 5,939.62 and 1,185.74 is: 1,778.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.72 : 5,939.62 = 1,185.74 : x
  2. Step 2: Convert to fraction form
    3,959.72/5,939.62 = 1,185.74/x
  3. Step 3: Cross multiply
    3,959.72x = 5,939.62 × 1,185.74
  4. Step 4: Simplify right side
    3,959.72x = 7,042,845.02
  5. Step 5: Solve for x
    x = 7,042,845.02/3,959.72
  6. Step 6: Final answer
    x = 1,778.62

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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.