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Finding the Fourth Proportional to 3,369.56, 5,054.18 and 1,178.78

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Solution

The fourth proportional to 3,369.56, 5,054.18 and 1,178.78 is: 1,768.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,369.56 : 5,054.18 = 1,178.78 : x
  2. Step 2: Convert to fraction form
    3,369.56/5,054.18 = 1,178.78/x
  3. Step 3: Cross multiply
    3,369.56x = 5,054.18 × 1,178.78
  4. Step 4: Simplify right side
    3,369.56x = 5,957,735.14
  5. Step 5: Solve for x
    x = 5,957,735.14/3,369.56
  6. Step 6: Final answer
    x = 1,768.11

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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.