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Finding the Fourth Proportional to 3,766.32, 5,197.56 and 2,194.36

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Solution

The fourth proportional to 3,766.32, 5,197.56 and 2,194.36 is: 3,028.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.32 : 5,197.56 = 2,194.36 : x
  2. Step 2: Convert to fraction form
    3,766.32/5,197.56 = 2,194.36/x
  3. Step 3: Cross multiply
    3,766.32x = 5,197.56 × 2,194.36
  4. Step 4: Simplify right side
    3,766.32x = 11,405,317.76
  5. Step 5: Solve for x
    x = 11,405,317.76/3,766.32
  6. Step 6: Final answer
    x = 3,028.24

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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.