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Finding the Fourth Proportional to 3,950, 5,914.56 and 3,166.32

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Solution

The fourth proportional to 3,950, 5,914.56 and 3,166.32 is: 4,741.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,950 : 5,914.56 = 3,166.32 : x
  2. Step 2: Convert to fraction form
    3,950/5,914.56 = 3,166.32/x
  3. Step 3: Cross multiply
    3,950x = 5,914.56 × 3,166.32
  4. Step 4: Simplify right side
    3,950x = 18,727,389.62
  5. Step 5: Solve for x
    x = 18,727,389.62/3,950
  6. Step 6: Final answer
    x = 4,741.11

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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.