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Finding the Fourth Proportional to 5,233.92, 7,222.40 and 2,876

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Solution

The fourth proportional to 5,233.92, 7,222.40 and 2,876 is: 3,968.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,233.92 : 7,222.40 = 2,876 : x
  2. Step 2: Convert to fraction form
    5,233.92/7,222.40 = 2,876/x
  3. Step 3: Cross multiply
    5,233.92x = 7,222.40 × 2,876
  4. Step 4: Simplify right side
    5,233.92x = 20,771,622.40
  5. Step 5: Solve for x
    x = 20,771,622.40/5,233.92
  6. Step 6: Final answer
    x = 3,968.65

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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.