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Finding the Fourth Proportional to 5,837.73, 8,055.65 and 3,185.09

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Solution

The fourth proportional to 5,837.73, 8,055.65 and 3,185.09 is: 4,395.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,837.73 : 8,055.65 = 3,185.09 : x
  2. Step 2: Convert to fraction form
    5,837.73/8,055.65 = 3,185.09/x
  3. Step 3: Cross multiply
    5,837.73x = 8,055.65 × 3,185.09
  4. Step 4: Simplify right side
    5,837.73x = 25,657,914.05
  5. Step 5: Solve for x
    x = 25,657,914.05/5,837.73
  6. Step 6: Final answer
    x = 4,395.19

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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.