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Finding the Fourth Proportional to 3,685.20, 5,083.26 and 3,214.20

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Solution

The fourth proportional to 3,685.20, 5,083.26 and 3,214.20 is: 4,433.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.20 : 5,083.26 = 3,214.20 : x
  2. Step 2: Convert to fraction form
    3,685.20/5,083.26 = 3,214.20/x
  3. Step 3: Cross multiply
    3,685.20x = 5,083.26 × 3,214.20
  4. Step 4: Simplify right side
    3,685.20x = 16,338,614.29
  5. Step 5: Solve for x
    x = 16,338,614.29/3,685.20
  6. Step 6: Final answer
    x = 4,433.58

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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.