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Finding the Fourth Proportional to 3,953.70, 5,456.07 and 2,185.35

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Solution

The fourth proportional to 3,953.70, 5,456.07 and 2,185.35 is: 3,015.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.70 : 5,456.07 = 2,185.35 : x
  2. Step 2: Convert to fraction form
    3,953.70/5,456.07 = 2,185.35/x
  3. Step 3: Cross multiply
    3,953.70x = 5,456.07 × 2,185.35
  4. Step 4: Simplify right side
    3,953.70x = 11,923,422.57
  5. Step 5: Solve for x
    x = 11,923,422.57/3,953.70
  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.