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Finding the Fourth Proportional to 3,768.08, 5,644.46 and 2,286.42

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Solution

The fourth proportional to 3,768.08, 5,644.46 and 2,286.42 is: 3,424.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.08 : 5,644.46 = 2,286.42 : x
  2. Step 2: Convert to fraction form
    3,768.08/5,644.46 = 2,286.42/x
  3. Step 3: Cross multiply
    3,768.08x = 5,644.46 × 2,286.42
  4. Step 4: Simplify right side
    3,768.08x = 12,905,606.23
  5. Step 5: Solve for x
    x = 12,905,606.23/3,768.08
  6. Step 6: Final answer
    x = 3,424.98

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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.