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Finding the Fourth Proportional to 5,682.14, 7,841.17 and 3,164.25

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Solution

The fourth proportional to 5,682.14, 7,841.17 and 3,164.25 is: 4,366.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.14 : 7,841.17 = 3,164.25 : x
  2. Step 2: Convert to fraction form
    5,682.14/7,841.17 = 3,164.25/x
  3. Step 3: Cross multiply
    5,682.14x = 7,841.17 × 3,164.25
  4. Step 4: Simplify right side
    5,682.14x = 24,811,422.17
  5. Step 5: Solve for x
    x = 24,811,422.17/5,682.14
  6. Step 6: Final answer
    x = 4,366.56

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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.