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Finding the Fourth Proportional to 3,876.46, 5,346.21 and 2,617.18

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Solution

The fourth proportional to 3,876.46, 5,346.21 and 2,617.18 is: 3,609.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.46 : 5,346.21 = 2,617.18 : x
  2. Step 2: Convert to fraction form
    3,876.46/5,346.21 = 2,617.18/x
  3. Step 3: Cross multiply
    3,876.46x = 5,346.21 × 2,617.18
  4. Step 4: Simplify right side
    3,876.46x = 13,991,993.89
  5. Step 5: Solve for x
    x = 13,991,993.89/3,876.46
  6. Step 6: Final answer
    x = 3,609.48

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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.