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Finding the Fourth Proportional to 3,757.47, 5,185.26 and 2,078.75

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Solution

The fourth proportional to 3,757.47, 5,185.26 and 2,078.75 is: 2,868.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.47 : 5,185.26 = 2,078.75 : x
  2. Step 2: Convert to fraction form
    3,757.47/5,185.26 = 2,078.75/x
  3. Step 3: Cross multiply
    3,757.47x = 5,185.26 × 2,078.75
  4. Step 4: Simplify right side
    3,757.47x = 10,778,833.30
  5. Step 5: Solve for x
    x = 10,778,833.30/3,757.47
  6. Step 6: Final answer
    x = 2,868.64

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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.