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Finding the Fourth Proportional to 4,951.78, 7,422.09 and 2,028.49

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Solution

The fourth proportional to 4,951.78, 7,422.09 and 2,028.49 is: 3,040.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,951.78 : 7,422.09 = 2,028.49 : x
  2. Step 2: Convert to fraction form
    4,951.78/7,422.09 = 2,028.49/x
  3. Step 3: Cross multiply
    4,951.78x = 7,422.09 × 2,028.49
  4. Step 4: Simplify right side
    4,951.78x = 15,055,635.34
  5. Step 5: Solve for x
    x = 15,055,635.34/4,951.78
  6. Step 6: Final answer
    x = 3,040.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.