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Finding the Fourth Proportional to 5,892.28, 8,131.29 and 3,203.47

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Solution

The fourth proportional to 5,892.28, 8,131.29 and 3,203.47 is: 4,420.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892.28 : 8,131.29 = 3,203.47 : x
  2. Step 2: Convert to fraction form
    5,892.28/8,131.29 = 3,203.47/x
  3. Step 3: Cross multiply
    5,892.28x = 8,131.29 × 3,203.47
  4. Step 4: Simplify right side
    5,892.28x = 26,048,343.58
  5. Step 5: Solve for x
    x = 26,048,343.58/5,892.28
  6. Step 6: Final answer
    x = 4,420.76

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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.