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Finding the Fourth Proportional to 3,892.46, 5,845.16 and 3,862.22

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Solution

The fourth proportional to 3,892.46, 5,845.16 and 3,862.22 is: 5,799.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.46 : 5,845.16 = 3,862.22 : x
  2. Step 2: Convert to fraction form
    3,892.46/5,845.16 = 3,862.22/x
  3. Step 3: Cross multiply
    3,892.46x = 5,845.16 × 3,862.22
  4. Step 4: Simplify right side
    3,892.46x = 22,575,274.28
  5. Step 5: Solve for x
    x = 22,575,274.28/3,892.46
  6. Step 6: Final answer
    x = 5,799.75

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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.