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Finding the Fourth Proportional to 3,813.28, 5,262.23 and 2,134.76

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Solution

The fourth proportional to 3,813.28, 5,262.23 and 2,134.76 is: 2,945.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.28 : 5,262.23 = 2,134.76 : x
  2. Step 2: Convert to fraction form
    3,813.28/5,262.23 = 2,134.76/x
  3. Step 3: Cross multiply
    3,813.28x = 5,262.23 × 2,134.76
  4. Step 4: Simplify right side
    3,813.28x = 11,233,577.14
  5. Step 5: Solve for x
    x = 11,233,577.14/3,813.28
  6. Step 6: Final answer
    x = 2,945.91

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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.