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Finding the Fourth Proportional to 3,932, 5,425.44 and 2,886.56

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Solution

The fourth proportional to 3,932, 5,425.44 and 2,886.56 is: 3,982.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932 : 5,425.44 = 2,886.56 : x
  2. Step 2: Convert to fraction form
    3,932/5,425.44 = 2,886.56/x
  3. Step 3: Cross multiply
    3,932x = 5,425.44 × 2,886.56
  4. Step 4: Simplify right side
    3,932x = 15,660,858.09
  5. Step 5: Solve for x
    x = 15,660,858.09/3,932
  6. Step 6: Final answer
    x = 3,982.92

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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.