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Finding the Fourth Proportional to 5,194.36, 7,792.88 and 1,496.88

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Solution

The fourth proportional to 5,194.36, 7,792.88 and 1,496.88 is: 2,245.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.36 : 7,792.88 = 1,496.88 : x
  2. Step 2: Convert to fraction form
    5,194.36/7,792.88 = 1,496.88/x
  3. Step 3: Cross multiply
    5,194.36x = 7,792.88 × 1,496.88
  4. Step 4: Simplify right side
    5,194.36x = 11,664,998.73
  5. Step 5: Solve for x
    x = 11,664,998.73/5,194.36
  6. Step 6: Final answer
    x = 2,245.70

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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.