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Finding the Fourth Proportional to 3,953.75, 5,456.16 and 2,185.34

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Solution

The fourth proportional to 3,953.75, 5,456.16 and 2,185.34 is: 3,015.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.75 : 5,456.16 = 2,185.34 : x
  2. Step 2: Convert to fraction form
    3,953.75/5,456.16 = 2,185.34/x
  3. Step 3: Cross multiply
    3,953.75x = 5,456.16 × 2,185.34
  4. Step 4: Simplify right side
    3,953.75x = 11,923,537.41
  5. Step 5: Solve for x
    x = 11,923,537.41/3,953.75
  6. Step 6: Final answer
    x = 3,015.76

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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.