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Finding the Fourth Proportional to 3,636.50, 5,427.28 and 3,286.58

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Solution

The fourth proportional to 3,636.50, 5,427.28 and 3,286.58 is: 4,905.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,636.50 : 5,427.28 = 3,286.58 : x
  2. Step 2: Convert to fraction form
    3,636.50/5,427.28 = 3,286.58/x
  3. Step 3: Cross multiply
    3,636.50x = 5,427.28 × 3,286.58
  4. Step 4: Simplify right side
    3,636.50x = 17,837,189.90
  5. Step 5: Solve for x
    x = 17,837,189.90/3,636.50
  6. Step 6: Final answer
    x = 4,905.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.