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Finding the Fourth Proportional to 5,892.09, 8,130.92 and 3,797.43

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Solution

The fourth proportional to 5,892.09, 8,130.92 and 3,797.43 is: 5,240.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892.09 : 8,130.92 = 3,797.43 : x
  2. Step 2: Convert to fraction form
    5,892.09/8,130.92 = 3,797.43/x
  3. Step 3: Cross multiply
    5,892.09x = 8,130.92 × 3,797.43
  4. Step 4: Simplify right side
    5,892.09x = 30,876,580.55
  5. Step 5: Solve for x
    x = 30,876,580.55/5,892.09
  6. Step 6: Final answer
    x = 5,240.34

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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.