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Finding the Fourth Proportional to 4,772.94, 7,150.93 and 1,993.49

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Solution

The fourth proportional to 4,772.94, 7,150.93 and 1,993.49 is: 2,986.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,772.94 : 7,150.93 = 1,993.49 : x
  2. Step 2: Convert to fraction form
    4,772.94/7,150.93 = 1,993.49/x
  3. Step 3: Cross multiply
    4,772.94x = 7,150.93 × 1,993.49
  4. Step 4: Simplify right side
    4,772.94x = 14,255,324.85
  5. Step 5: Solve for x
    x = 14,255,324.85/4,772.94
  6. Step 6: Final answer
    x = 2,986.70

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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.