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Finding the Fourth Proportional to 4,197.74, 5,795.34 and 2,906.60

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Solution

The fourth proportional to 4,197.74, 5,795.34 and 2,906.60 is: 4,012.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.74 : 5,795.34 = 2,906.60 : x
  2. Step 2: Convert to fraction form
    4,197.74/5,795.34 = 2,906.60/x
  3. Step 3: Cross multiply
    4,197.74x = 5,795.34 × 2,906.60
  4. Step 4: Simplify right side
    4,197.74x = 16,844,735.24
  5. Step 5: Solve for x
    x = 16,844,735.24/4,197.74
  6. Step 6: Final answer
    x = 4,012.81

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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.