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Finding the Fourth Proportional to 5,227.72, 7,214.12 and 2,869.80

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Solution

The fourth proportional to 5,227.72, 7,214.12 and 2,869.80 is: 3,960.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.72 : 7,214.12 = 2,869.80 : x
  2. Step 2: Convert to fraction form
    5,227.72/7,214.12 = 2,869.80/x
  3. Step 3: Cross multiply
    5,227.72x = 7,214.12 × 2,869.80
  4. Step 4: Simplify right side
    5,227.72x = 20,703,081.58
  5. Step 5: Solve for x
    x = 20,703,081.58/5,227.72
  6. Step 6: Final answer
    x = 3,960.25

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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.