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Finding the Fourth Proportional to 4,791.64, 7,188.28 and 2,194.80

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Solution

The fourth proportional to 4,791.64, 7,188.28 and 2,194.80 is: 3,292.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,791.64 : 7,188.28 = 2,194.80 : x
  2. Step 2: Convert to fraction form
    4,791.64/7,188.28 = 2,194.80/x
  3. Step 3: Cross multiply
    4,791.64x = 7,188.28 × 2,194.80
  4. Step 4: Simplify right side
    4,791.64x = 15,776,836.94
  5. Step 5: Solve for x
    x = 15,776,836.94/4,791.64
  6. Step 6: Final answer
    x = 3,292.58

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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.