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Finding the Fourth Proportional to 5,689.37, 7,850.79 and 3,171.29

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Solution

The fourth proportional to 5,689.37, 7,850.79 and 3,171.29 is: 4,376.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.37 : 7,850.79 = 3,171.29 : x
  2. Step 2: Convert to fraction form
    5,689.37/7,850.79 = 3,171.29/x
  3. Step 3: Cross multiply
    5,689.37x = 7,850.79 × 3,171.29
  4. Step 4: Simplify right side
    5,689.37x = 24,897,092.57
  5. Step 5: Solve for x
    x = 24,897,092.57/5,689.37
  6. Step 6: Final answer
    x = 4,376.07

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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.