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Finding the Fourth Proportional to 5,689.14, 7,850.99 and 3,171.22

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Solution

The fourth proportional to 5,689.14, 7,850.99 and 3,171.22 is: 4,376.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.14 : 7,850.99 = 3,171.22 : x
  2. Step 2: Convert to fraction form
    5,689.14/7,850.99 = 3,171.22/x
  3. Step 3: Cross multiply
    5,689.14x = 7,850.99 × 3,171.22
  4. Step 4: Simplify right side
    5,689.14x = 24,897,216.51
  5. Step 5: Solve for x
    x = 24,897,216.51/5,689.14
  6. Step 6: Final answer
    x = 4,376.27

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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.