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Finding the Fourth Proportional to 3,867.51, 5,801.67 and 1,270.92

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Solution

The fourth proportional to 3,867.51, 5,801.67 and 1,270.92 is: 1,906.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.51 : 5,801.67 = 1,270.92 : x
  2. Step 2: Convert to fraction form
    3,867.51/5,801.67 = 1,270.92/x
  3. Step 3: Cross multiply
    3,867.51x = 5,801.67 × 1,270.92
  4. Step 4: Simplify right side
    3,867.51x = 7,373,458.44
  5. Step 5: Solve for x
    x = 7,373,458.44/3,867.51
  6. Step 6: Final answer
    x = 1,906.51

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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.