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Finding the Fourth Proportional to 3,638.68, 5,453.14 and 3,405.40

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Solution

The fourth proportional to 3,638.68, 5,453.14 and 3,405.40 is: 5,103.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.68 : 5,453.14 = 3,405.40 : x
  2. Step 2: Convert to fraction form
    3,638.68/5,453.14 = 3,405.40/x
  3. Step 3: Cross multiply
    3,638.68x = 5,453.14 × 3,405.40
  4. Step 4: Simplify right side
    3,638.68x = 18,570,122.96
  5. Step 5: Solve for x
    x = 18,570,122.96/3,638.68
  6. Step 6: Final answer
    x = 5,103.53

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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.