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Finding the Fourth Proportional to 3,832.08, 5,750.20 and 2,675.60

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Solution

The fourth proportional to 3,832.08, 5,750.20 and 2,675.60 is: 4,014.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.08 : 5,750.20 = 2,675.60 : x
  2. Step 2: Convert to fraction form
    3,832.08/5,750.20 = 2,675.60/x
  3. Step 3: Cross multiply
    3,832.08x = 5,750.20 × 2,675.60
  4. Step 4: Simplify right side
    3,832.08x = 15,385,235.12
  5. Step 5: Solve for x
    x = 15,385,235.12/3,832.08
  6. Step 6: Final answer
    x = 4,014.85

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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.