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Finding the Fourth Proportional to 3,609.60, 5,410.08 and 2,961.60

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Solution

The fourth proportional to 3,609.60, 5,410.08 and 2,961.60 is: 4,438.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.60 : 5,410.08 = 2,961.60 : x
  2. Step 2: Convert to fraction form
    3,609.60/5,410.08 = 2,961.60/x
  3. Step 3: Cross multiply
    3,609.60x = 5,410.08 × 2,961.60
  4. Step 4: Simplify right side
    3,609.60x = 16,022,492.93
  5. Step 5: Solve for x
    x = 16,022,492.93/3,609.60
  6. Step 6: Final answer
    x = 4,438.86

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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.