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Finding the Fourth Proportional to 3,813.21, 5,720.09 and 3,605.45

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Solution

The fourth proportional to 3,813.21, 5,720.09 and 3,605.45 is: 5,408.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,813.21 : 5,720.09 = 3,605.45 : x
  2. Step 2: Convert to fraction form
    3,813.21/5,720.09 = 3,605.45/x
  3. Step 3: Cross multiply
    3,813.21x = 5,720.09 × 3,605.45
  4. Step 4: Simplify right side
    3,813.21x = 20,623,451.86
  5. Step 5: Solve for x
    x = 20,623,451.86/3,813.21
  6. Step 6: Final answer
    x = 5,408.42

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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.