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Finding the Fourth Proportional to 3,794.56, 5,677.44 and 3,410.88

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Solution

The fourth proportional to 3,794.56, 5,677.44 and 3,410.88 is: 5,103.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.56 : 5,677.44 = 3,410.88 : x
  2. Step 2: Convert to fraction form
    3,794.56/5,677.44 = 3,410.88/x
  3. Step 3: Cross multiply
    3,794.56x = 5,677.44 × 3,410.88
  4. Step 4: Simplify right side
    3,794.56x = 19,365,066.55
  5. Step 5: Solve for x
    x = 19,365,066.55/3,794.56
  6. Step 6: Final answer
    x = 5,103.38

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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.