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Finding the Fourth Proportional to 3,741.96, 5,167.62 and 3,081

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Solution

The fourth proportional to 3,741.96, 5,167.62 and 3,081 is: 4,254.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741.96 : 5,167.62 = 3,081 : x
  2. Step 2: Convert to fraction form
    3,741.96/5,167.62 = 3,081/x
  3. Step 3: Cross multiply
    3,741.96x = 5,167.62 × 3,081
  4. Step 4: Simplify right side
    3,741.96x = 15,921,437.22
  5. Step 5: Solve for x
    x = 15,921,437.22/3,741.96
  6. Step 6: Final answer
    x = 4,254.84

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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.