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Finding the Fourth Proportional to 5,654.36, 8,481.02 and 3,817.28

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Solution

The fourth proportional to 5,654.36, 8,481.02 and 3,817.28 is: 5,725.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654.36 : 8,481.02 = 3,817.28 : x
  2. Step 2: Convert to fraction form
    5,654.36/8,481.02 = 3,817.28/x
  3. Step 3: Cross multiply
    5,654.36x = 8,481.02 × 3,817.28
  4. Step 4: Simplify right side
    5,654.36x = 32,374,366.53
  5. Step 5: Solve for x
    x = 32,374,366.53/5,654.36
  6. Step 6: Final answer
    x = 5,725.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.