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Finding the Fourth Proportional to 3,842.73, 5,765.90 and 2,285.82

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Solution

The fourth proportional to 3,842.73, 5,765.90 and 2,285.82 is: 3,429.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.73 : 5,765.90 = 2,285.82 : x
  2. Step 2: Convert to fraction form
    3,842.73/5,765.90 = 2,285.82/x
  3. Step 3: Cross multiply
    3,842.73x = 5,765.90 × 2,285.82
  4. Step 4: Simplify right side
    3,842.73x = 13,179,798.11
  5. Step 5: Solve for x
    x = 13,179,798.11/3,842.73
  6. Step 6: Final answer
    x = 3,429.80

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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.