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Finding the Fourth Proportional to 3,813.82, 5,262.79 and 2,134.84

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Solution

The fourth proportional to 3,813.82, 5,262.79 and 2,134.84 is: 2,945.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.82 : 5,262.79 = 2,134.84 : x
  2. Step 2: Convert to fraction form
    3,813.82/5,262.79 = 2,134.84/x
  3. Step 3: Cross multiply
    3,813.82x = 5,262.79 × 2,134.84
  4. Step 4: Simplify right side
    3,813.82x = 11,235,214.60
  5. Step 5: Solve for x
    x = 11,235,214.60/3,813.82
  6. Step 6: Final answer
    x = 2,945.92

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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.