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Finding the Fourth Proportional to 3,954.56, 5,454.46 and 2,442.09

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Solution

The fourth proportional to 3,954.56, 5,454.46 and 2,442.09 is: 3,368.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.56 : 5,454.46 = 2,442.09 : x
  2. Step 2: Convert to fraction form
    3,954.56/5,454.46 = 2,442.09/x
  3. Step 3: Cross multiply
    3,954.56x = 5,454.46 × 2,442.09
  4. Step 4: Simplify right side
    3,954.56x = 13,320,285.27
  5. Step 5: Solve for x
    x = 13,320,285.27/3,954.56
  6. Step 6: Final answer
    x = 3,368.33

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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.