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Finding the Fourth Proportional to 3,757.37, 5,185.02 and 2,078.67

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Solution

The fourth proportional to 3,757.37, 5,185.02 and 2,078.67 is: 2,868.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.37 : 5,185.02 = 2,078.67 : x
  2. Step 2: Convert to fraction form
    3,757.37/5,185.02 = 2,078.67/x
  3. Step 3: Cross multiply
    3,757.37x = 5,185.02 × 2,078.67
  4. Step 4: Simplify right side
    3,757.37x = 10,777,945.52
  5. Step 5: Solve for x
    x = 10,777,945.52/3,757.37
  6. Step 6: Final answer
    x = 2,868.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.