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Finding the Fourth Proportional to 5,222.84, 7,206.27 and 2,954.22

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Solution

The fourth proportional to 5,222.84, 7,206.27 and 2,954.22 is: 4,076.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.84 : 7,206.27 = 2,954.22 : x
  2. Step 2: Convert to fraction form
    5,222.84/7,206.27 = 2,954.22/x
  3. Step 3: Cross multiply
    5,222.84x = 7,206.27 × 2,954.22
  4. Step 4: Simplify right side
    5,222.84x = 21,288,906.96
  5. Step 5: Solve for x
    x = 21,288,906.96/5,222.84
  6. Step 6: Final answer
    x = 4,076.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.