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Finding the Fourth Proportional to 5,215, 7,196.70 and 2,857.23

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Solution

The fourth proportional to 5,215, 7,196.70 and 2,857.23 is: 3,942.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215 : 7,196.70 = 2,857.23 : x
  2. Step 2: Convert to fraction form
    5,215/7,196.70 = 2,857.23/x
  3. Step 3: Cross multiply
    5,215x = 7,196.70 × 2,857.23
  4. Step 4: Simplify right side
    5,215x = 20,562,627.14
  5. Step 5: Solve for x
    x = 20,562,627.14/5,215
  6. Step 6: Final answer
    x = 3,942.98

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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.