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Finding the Fourth Proportional to 5,546.56, 7,643.73 and 3,971.92

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Solution

The fourth proportional to 5,546.56, 7,643.73 and 3,971.92 is: 5,473.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,546.56 : 7,643.73 = 3,971.92 : x
  2. Step 2: Convert to fraction form
    5,546.56/7,643.73 = 3,971.92/x
  3. Step 3: Cross multiply
    5,546.56x = 7,643.73 × 3,971.92
  4. Step 4: Simplify right side
    5,546.56x = 30,360,284.06
  5. Step 5: Solve for x
    x = 30,360,284.06/5,546.56
  6. Step 6: Final answer
    x = 5,473.71

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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.