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Finding the Fourth Proportional to 3,896.44, 5,380.68 and 2,501.62

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Solution

The fourth proportional to 3,896.44, 5,380.68 and 2,501.62 is: 3,454.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.44 : 5,380.68 = 2,501.62 : x
  2. Step 2: Convert to fraction form
    3,896.44/5,380.68 = 2,501.62/x
  3. Step 3: Cross multiply
    3,896.44x = 5,380.68 × 2,501.62
  4. Step 4: Simplify right side
    3,896.44x = 13,460,416.70
  5. Step 5: Solve for x
    x = 13,460,416.70/3,896.44
  6. Step 6: Final answer
    x = 3,454.54

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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.