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Finding the Fourth Proportional to 4,716.98, 7,069.22 and 3,938.50

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Solution

The fourth proportional to 4,716.98, 7,069.22 and 3,938.50 is: 5,902.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,716.98 : 7,069.22 = 3,938.50 : x
  2. Step 2: Convert to fraction form
    4,716.98/7,069.22 = 3,938.50/x
  3. Step 3: Cross multiply
    4,716.98x = 7,069.22 × 3,938.50
  4. Step 4: Simplify right side
    4,716.98x = 27,842,122.97
  5. Step 5: Solve for x
    x = 27,842,122.97/4,716.98
  6. Step 6: Final answer
    x = 5,902.53

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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.