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Finding the Fourth Proportional to 4,796.60, 7,194.34 and 1,286.91

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Solution

The fourth proportional to 4,796.60, 7,194.34 and 1,286.91 is: 1,930.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,796.60 : 7,194.34 = 1,286.91 : x
  2. Step 2: Convert to fraction form
    4,796.60/7,194.34 = 1,286.91/x
  3. Step 3: Cross multiply
    4,796.60x = 7,194.34 × 1,286.91
  4. Step 4: Simplify right side
    4,796.60x = 9,258,468.09
  5. Step 5: Solve for x
    x = 9,258,468.09/4,796.60
  6. Step 6: Final answer
    x = 1,930.21

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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.