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Finding the Fourth Proportional to 5,837.66, 8,056.20 and 3,185.21

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Solution

The fourth proportional to 5,837.66, 8,056.20 and 3,185.21 is: 4,395.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,837.66 : 8,056.20 = 3,185.21 : x
  2. Step 2: Convert to fraction form
    5,837.66/8,056.20 = 3,185.21/x
  3. Step 3: Cross multiply
    5,837.66x = 8,056.20 × 3,185.21
  4. Step 4: Simplify right side
    5,837.66x = 25,660,648.52
  5. Step 5: Solve for x
    x = 25,660,648.52/5,837.66
  6. Step 6: Final answer
    x = 4,395.71

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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.