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Finding the Fourth Proportional to 3,944, 5,442.79 and 2,549.18

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Solution

The fourth proportional to 3,944, 5,442.79 and 2,549.18 is: 3,517.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,944 : 5,442.79 = 2,549.18 : x
  2. Step 2: Convert to fraction form
    3,944/5,442.79 = 2,549.18/x
  3. Step 3: Cross multiply
    3,944x = 5,442.79 × 2,549.18
  4. Step 4: Simplify right side
    3,944x = 13,874,651.41
  5. Step 5: Solve for x
    x = 13,874,651.41/3,944
  6. Step 6: Final answer
    x = 3,517.91

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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.