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Finding the Fourth Proportional to 3,883.20, 5,813.60 and 3,609.84

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Solution

The fourth proportional to 3,883.20, 5,813.60 and 3,609.84 is: 5,404.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.20 : 5,813.60 = 3,609.84 : x
  2. Step 2: Convert to fraction form
    3,883.20/5,813.60 = 3,609.84/x
  3. Step 3: Cross multiply
    3,883.20x = 5,813.60 × 3,609.84
  4. Step 4: Simplify right side
    3,883.20x = 20,986,165.82
  5. Step 5: Solve for x
    x = 20,986,165.82/3,883.20
  6. Step 6: Final answer
    x = 5,404.35

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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.