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Finding the Fourth Proportional to 5,974.64, 8,243.39 and 3,848.43

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Solution

The fourth proportional to 5,974.64, 8,243.39 and 3,848.43 is: 5,309.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,974.64 : 8,243.39 = 3,848.43 : x
  2. Step 2: Convert to fraction form
    5,974.64/8,243.39 = 3,848.43/x
  3. Step 3: Cross multiply
    5,974.64x = 8,243.39 × 3,848.43
  4. Step 4: Simplify right side
    5,974.64x = 31,724,090.14
  5. Step 5: Solve for x
    x = 31,724,090.14/5,974.64
  6. Step 6: Final answer
    x = 5,309.79

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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.