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Finding the Fourth Proportional to 3,912.60, 5,867.42 and 1,279.48

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Solution

The fourth proportional to 3,912.60, 5,867.42 and 1,279.48 is: 1,918.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.60 : 5,867.42 = 1,279.48 : x
  2. Step 2: Convert to fraction form
    3,912.60/5,867.42 = 1,279.48/x
  3. Step 3: Cross multiply
    3,912.60x = 5,867.42 × 1,279.48
  4. Step 4: Simplify right side
    3,912.60x = 7,507,246.54
  5. Step 5: Solve for x
    x = 7,507,246.54/3,912.60
  6. Step 6: Final answer
    x = 1,918.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.