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Finding the Fourth Proportional to 5,892.45, 8,839.63 and 1,942.58

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Solution

The fourth proportional to 5,892.45, 8,839.63 and 1,942.58 is: 2,914.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,892.45 : 8,839.63 = 1,942.58 : x
  2. Step 2: Convert to fraction form
    5,892.45/8,839.63 = 1,942.58/x
  3. Step 3: Cross multiply
    5,892.45x = 8,839.63 × 1,942.58
  4. Step 4: Simplify right side
    5,892.45x = 17,171,712.97
  5. Step 5: Solve for x
    x = 17,171,712.97/5,892.45
  6. Step 6: Final answer
    x = 2,914.19

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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.