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Finding the Fourth Proportional to 3,861.96, 5,327.40 and 2,965

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Solution

The fourth proportional to 3,861.96, 5,327.40 and 2,965 is: 4,090.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.96 : 5,327.40 = 2,965 : x
  2. Step 2: Convert to fraction form
    3,861.96/5,327.40 = 2,965/x
  3. Step 3: Cross multiply
    3,861.96x = 5,327.40 × 2,965
  4. Step 4: Simplify right side
    3,861.96x = 15,795,741.00
  5. Step 5: Solve for x
    x = 15,795,741.00/3,861.96
  6. Step 6: Final answer
    x = 4,090.08

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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.