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Finding the Fourth Proportional to 3,953.81, 5,456.03 and 2,185.31

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Solution

The fourth proportional to 3,953.81, 5,456.03 and 2,185.31 is: 3,015.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.81 : 5,456.03 = 2,185.31 : x
  2. Step 2: Convert to fraction form
    3,953.81/5,456.03 = 2,185.31/x
  3. Step 3: Cross multiply
    3,953.81x = 5,456.03 × 2,185.31
  4. Step 4: Simplify right side
    3,953.81x = 11,923,134.65
  5. Step 5: Solve for x
    x = 11,923,134.65/3,953.81
  6. Step 6: Final answer
    x = 3,015.60

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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.