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Finding the Fourth Proportional to 3,781.28, 5,218.28 and 2,102.75

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Solution

The fourth proportional to 3,781.28, 5,218.28 and 2,102.75 is: 2,901.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.28 : 5,218.28 = 2,102.75 : x
  2. Step 2: Convert to fraction form
    3,781.28/5,218.28 = 2,102.75/x
  3. Step 3: Cross multiply
    3,781.28x = 5,218.28 × 2,102.75
  4. Step 4: Simplify right side
    3,781.28x = 10,972,748.69
  5. Step 5: Solve for x
    x = 10,972,748.69/3,781.28
  6. Step 6: Final answer
    x = 2,901.86

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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.