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Finding the Fourth Proportional to 5,654.28, 7,801.74 and 3,664.56

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Solution

The fourth proportional to 5,654.28, 7,801.74 and 3,664.56 is: 5,056.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654.28 : 7,801.74 = 3,664.56 : x
  2. Step 2: Convert to fraction form
    5,654.28/7,801.74 = 3,664.56/x
  3. Step 3: Cross multiply
    5,654.28x = 7,801.74 × 3,664.56
  4. Step 4: Simplify right side
    5,654.28x = 28,589,944.33
  5. Step 5: Solve for x
    x = 28,589,944.33/5,654.28
  6. Step 6: Final answer
    x = 5,056.34

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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.