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Finding the Fourth Proportional to 3,796.56, 5,680.44 and 3,412.88

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Solution

The fourth proportional to 3,796.56, 5,680.44 and 3,412.88 is: 5,106.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.56 : 5,680.44 = 3,412.88 : x
  2. Step 2: Convert to fraction form
    3,796.56/5,680.44 = 3,412.88/x
  3. Step 3: Cross multiply
    3,796.56x = 5,680.44 × 3,412.88
  4. Step 4: Simplify right side
    3,796.56x = 19,386,660.07
  5. Step 5: Solve for x
    x = 19,386,660.07/3,796.56
  6. Step 6: Final answer
    x = 5,106.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.