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Finding the Fourth Proportional to 4,902.10, 6,764.52 and 3,013.48

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Solution

The fourth proportional to 4,902.10, 6,764.52 and 3,013.48 is: 4,158.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.10 : 6,764.52 = 3,013.48 : x
  2. Step 2: Convert to fraction form
    4,902.10/6,764.52 = 3,013.48/x
  3. Step 3: Cross multiply
    4,902.10x = 6,764.52 × 3,013.48
  4. Step 4: Simplify right side
    4,902.10x = 20,384,745.73
  5. Step 5: Solve for x
    x = 20,384,745.73/4,902.10
  6. Step 6: Final answer
    x = 4,158.37

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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.