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Finding the Fourth Proportional to 3,764.46, 5,195.46 and 2,192.28

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Solution

The fourth proportional to 3,764.46, 5,195.46 and 2,192.28 is: 3,025.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.46 : 5,195.46 = 2,192.28 : x
  2. Step 2: Convert to fraction form
    3,764.46/5,195.46 = 2,192.28/x
  3. Step 3: Cross multiply
    3,764.46x = 5,195.46 × 2,192.28
  4. Step 4: Simplify right side
    3,764.46x = 11,389,903.05
  5. Step 5: Solve for x
    x = 11,389,903.05/3,764.46
  6. Step 6: Final answer
    x = 3,025.64

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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.