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Finding the Fourth Proportional to 3,185.94, 4,778.21 and 993.47

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Solution

The fourth proportional to 3,185.94, 4,778.21 and 993.47 is: 1,489.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.94 : 4,778.21 = 993.47 : x
  2. Step 2: Convert to fraction form
    3,185.94/4,778.21 = 993.47/x
  3. Step 3: Cross multiply
    3,185.94x = 4,778.21 × 993.47
  4. Step 4: Simplify right side
    3,185.94x = 4,747,022.72
  5. Step 5: Solve for x
    x = 4,747,022.72/3,185.94
  6. Step 6: Final answer
    x = 1,489.99

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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.