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Finding the Fourth Proportional to 4,954.84, 7,416.76 and 3,197.49

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Solution

The fourth proportional to 4,954.84, 7,416.76 and 3,197.49 is: 4,786.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954.84 : 7,416.76 = 3,197.49 : x
  2. Step 2: Convert to fraction form
    4,954.84/7,416.76 = 3,197.49/x
  3. Step 3: Cross multiply
    4,954.84x = 7,416.76 × 3,197.49
  4. Step 4: Simplify right side
    4,954.84x = 23,715,015.93
  5. Step 5: Solve for x
    x = 23,715,015.93/4,954.84
  6. Step 6: Final answer
    x = 4,786.23

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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.