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Finding the Fourth Proportional to 5,227.77, 7,214.46 and 2,837.84

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Solution

The fourth proportional to 5,227.77, 7,214.46 and 2,837.84 is: 3,916.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.77 : 7,214.46 = 2,837.84 : x
  2. Step 2: Convert to fraction form
    5,227.77/7,214.46 = 2,837.84/x
  3. Step 3: Cross multiply
    5,227.77x = 7,214.46 × 2,837.84
  4. Step 4: Simplify right side
    5,227.77x = 20,473,505.43
  5. Step 5: Solve for x
    x = 20,473,505.43/5,227.77
  6. Step 6: Final answer
    x = 3,916.29

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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.