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Finding the Fourth Proportional to 3,892.26, 5,833.14 and 1,424.76

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Solution

The fourth proportional to 3,892.26, 5,833.14 and 1,424.76 is: 2,135.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.26 : 5,833.14 = 1,424.76 : x
  2. Step 2: Convert to fraction form
    3,892.26/5,833.14 = 1,424.76/x
  3. Step 3: Cross multiply
    3,892.26x = 5,833.14 × 1,424.76
  4. Step 4: Simplify right side
    3,892.26x = 8,310,824.55
  5. Step 5: Solve for x
    x = 8,310,824.55/3,892.26
  6. Step 6: Final answer
    x = 2,135.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.