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Finding the Fourth Proportional to 5,233.84, 7,222.74 and 2,876

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Solution

The fourth proportional to 5,233.84, 7,222.74 and 2,876 is: 3,968.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,233.84 : 7,222.74 = 2,876 : x
  2. Step 2: Convert to fraction form
    5,233.84/7,222.74 = 2,876/x
  3. Step 3: Cross multiply
    5,233.84x = 7,222.74 × 2,876
  4. Step 4: Simplify right side
    5,233.84x = 20,772,600.24
  5. Step 5: Solve for x
    x = 20,772,600.24/5,233.84
  6. Step 6: Final answer
    x = 3,968.90

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Why These Related Problems?

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