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Finding the Fourth Proportional to 4,183, 5,772.74 and 2,320

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Solution

The fourth proportional to 4,183, 5,772.74 and 2,320 is: 3,201.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,183 : 5,772.74 = 2,320 : x
  2. Step 2: Convert to fraction form
    4,183/5,772.74 = 2,320/x
  3. Step 3: Cross multiply
    4,183x = 5,772.74 × 2,320
  4. Step 4: Simplify right side
    4,183x = 13,392,756.80
  5. Step 5: Solve for x
    x = 13,392,756.80/4,183
  6. Step 6: Final answer
    x = 3,201.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.