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Finding the Fourth Proportional to 4,982.82, 6,826.49 and 4,795.98

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Solution

The fourth proportional to 4,982.82, 6,826.49 and 4,795.98 is: 6,570.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,982.82 : 6,826.49 = 4,795.98 : x
  2. Step 2: Convert to fraction form
    4,982.82/6,826.49 = 4,795.98/x
  3. Step 3: Cross multiply
    4,982.82x = 6,826.49 × 4,795.98
  4. Step 4: Simplify right side
    4,982.82x = 32,739,675.38
  5. Step 5: Solve for x
    x = 32,739,675.38/4,982.82
  6. Step 6: Final answer
    x = 6,570.52

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.