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Finding the Fourth Proportional to 5,227.50, 7,869.76 and 4,768.22

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Solution

The fourth proportional to 5,227.50, 7,869.76 and 4,768.22 is: 7,178.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.50 : 7,869.76 = 4,768.22 : x
  2. Step 2: Convert to fraction form
    5,227.50/7,869.76 = 4,768.22/x
  3. Step 3: Cross multiply
    5,227.50x = 7,869.76 × 4,768.22
  4. Step 4: Simplify right side
    5,227.50x = 37,524,747.03
  5. Step 5: Solve for x
    x = 37,524,747.03/5,227.50
  6. Step 6: Final answer
    x = 7,178.34

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.