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Finding the Fourth Proportional to 4,832.82, 7,235.19 and 4,092.48

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Solution

The fourth proportional to 4,832.82, 7,235.19 and 4,092.48 is: 6,126.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,832.82 : 7,235.19 = 4,092.48 : x
  2. Step 2: Convert to fraction form
    4,832.82/7,235.19 = 4,092.48/x
  3. Step 3: Cross multiply
    4,832.82x = 7,235.19 × 4,092.48
  4. Step 4: Simplify right side
    4,832.82x = 29,609,870.37
  5. Step 5: Solve for x
    x = 29,609,870.37/4,832.82
  6. Step 6: Final answer
    x = 6,126.83

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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.