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Finding the Fourth Proportional to 4,141.06, 5,716.04 and 3,078.54

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Solution

The fourth proportional to 4,141.06, 5,716.04 and 3,078.54 is: 4,249.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.06 : 5,716.04 = 3,078.54 : x
  2. Step 2: Convert to fraction form
    4,141.06/5,716.04 = 3,078.54/x
  3. Step 3: Cross multiply
    4,141.06x = 5,716.04 × 3,078.54
  4. Step 4: Simplify right side
    4,141.06x = 17,597,042.39
  5. Step 5: Solve for x
    x = 17,597,042.39/4,141.06
  6. Step 6: Final answer
    x = 4,249.41

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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.