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Finding the Fourth Proportional to 5,395.31, 8,091 and 1,884.33

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Solution

The fourth proportional to 5,395.31, 8,091 and 1,884.33 is: 2,825.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,395.31 : 8,091 = 1,884.33 : x
  2. Step 2: Convert to fraction form
    5,395.31/8,091 = 1,884.33/x
  3. Step 3: Cross multiply
    5,395.31x = 8,091 × 1,884.33
  4. Step 4: Simplify right side
    5,395.31x = 15,246,083.69
  5. Step 5: Solve for x
    x = 15,246,083.69/5,395.31
  6. Step 6: Final answer
    x = 2,825.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.