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Finding the Fourth Proportional to 3,790.94, 5,232.26 and 2,197.80

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Solution

The fourth proportional to 3,790.94, 5,232.26 and 2,197.80 is: 3,033.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790.94 : 5,232.26 = 2,197.80 : x
  2. Step 2: Convert to fraction form
    3,790.94/5,232.26 = 2,197.80/x
  3. Step 3: Cross multiply
    3,790.94x = 5,232.26 × 2,197.80
  4. Step 4: Simplify right side
    3,790.94x = 11,499,466.52
  5. Step 5: Solve for x
    x = 11,499,466.52/3,790.94
  6. Step 6: Final answer
    x = 3,033.41

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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.