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Finding the Fourth Proportional to 5,689.85, 7,850.94 and 3,171.90

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Solution

The fourth proportional to 5,689.85, 7,850.94 and 3,171.90 is: 4,376.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.85 : 7,850.94 = 3,171.90 : x
  2. Step 2: Convert to fraction form
    5,689.85/7,850.94 = 3,171.90/x
  3. Step 3: Cross multiply
    5,689.85x = 7,850.94 × 3,171.90
  4. Step 4: Simplify right side
    5,689.85x = 24,902,396.59
  5. Step 5: Solve for x
    x = 24,902,396.59/5,689.85
  6. Step 6: Final answer
    x = 4,376.64

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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.