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Finding the Fourth Proportional to 3,664.28, 5,056.68 and 2,008.28

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Solution

The fourth proportional to 3,664.28, 5,056.68 and 2,008.28 is: 2,771.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.28 : 5,056.68 = 2,008.28 : x
  2. Step 2: Convert to fraction form
    3,664.28/5,056.68 = 2,008.28/x
  3. Step 3: Cross multiply
    3,664.28x = 5,056.68 × 2,008.28
  4. Step 4: Simplify right side
    3,664.28x = 10,155,229.31
  5. Step 5: Solve for x
    x = 10,155,229.31/3,664.28
  6. Step 6: Final answer
    x = 2,771.41

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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.