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Finding the Fourth Proportional to 3,648.80, 5,039.22 and 2,861.60

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Solution

The fourth proportional to 3,648.80, 5,039.22 and 2,861.60 is: 3,952.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.80 : 5,039.22 = 2,861.60 : x
  2. Step 2: Convert to fraction form
    3,648.80/5,039.22 = 2,861.60/x
  3. Step 3: Cross multiply
    3,648.80x = 5,039.22 × 2,861.60
  4. Step 4: Simplify right side
    3,648.80x = 14,420,231.95
  5. Step 5: Solve for x
    x = 14,420,231.95/3,648.80
  6. Step 6: Final answer
    x = 3,952.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.