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Finding the Fourth Proportional to 3,757.27, 5,185.05 and 2,078.65

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Solution

The fourth proportional to 3,757.27, 5,185.05 and 2,078.65 is: 2,868.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.27 : 5,185.05 = 2,078.65 : x
  2. Step 2: Convert to fraction form
    3,757.27/5,185.05 = 2,078.65/x
  3. Step 3: Cross multiply
    3,757.27x = 5,185.05 × 2,078.65
  4. Step 4: Simplify right side
    3,757.27x = 10,777,904.18
  5. Step 5: Solve for x
    x = 10,777,904.18/3,757.27
  6. Step 6: Final answer
    x = 2,868.55

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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.