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Finding the Fourth Proportional to 3,953.71, 5,456.13 and 2,185.27

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Solution

The fourth proportional to 3,953.71, 5,456.13 and 2,185.27 is: 3,015.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.71 : 5,456.13 = 2,185.27 : x
  2. Step 2: Convert to fraction form
    3,953.71/5,456.13 = 2,185.27/x
  3. Step 3: Cross multiply
    3,953.71x = 5,456.13 × 2,185.27
  4. Step 4: Simplify right side
    3,953.71x = 11,923,117.21
  5. Step 5: Solve for x
    x = 11,923,117.21/3,953.71
  6. Step 6: Final answer
    x = 3,015.68

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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.