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Finding the Fourth Proportional to 4,768.43, 7,150.95 and 1,993.64

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Solution

The fourth proportional to 4,768.43, 7,150.95 and 1,993.64 is: 2,989.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.43 : 7,150.95 = 1,993.64 : x
  2. Step 2: Convert to fraction form
    4,768.43/7,150.95 = 1,993.64/x
  3. Step 3: Cross multiply
    4,768.43x = 7,150.95 × 1,993.64
  4. Step 4: Simplify right side
    4,768.43x = 14,256,384.20
  5. Step 5: Solve for x
    x = 14,256,384.20/4,768.43
  6. Step 6: Final answer
    x = 2,989.75

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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.