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Finding the Fourth Proportional to 3,818.34, 5,698.20 and 3,796.44

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Solution

The fourth proportional to 3,818.34, 5,698.20 and 3,796.44 is: 5,665.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,818.34 : 5,698.20 = 3,796.44 : x
  2. Step 2: Convert to fraction form
    3,818.34/5,698.20 = 3,796.44/x
  3. Step 3: Cross multiply
    3,818.34x = 5,698.20 × 3,796.44
  4. Step 4: Simplify right side
    3,818.34x = 21,632,874.41
  5. Step 5: Solve for x
    x = 21,632,874.41/3,818.34
  6. Step 6: Final answer
    x = 5,665.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.