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Finding the Fourth Proportional to 3,772.96, 5,205.60 and 2,200.80

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Solution

The fourth proportional to 3,772.96, 5,205.60 and 2,200.80 is: 3,036.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.96 : 5,205.60 = 2,200.80 : x
  2. Step 2: Convert to fraction form
    3,772.96/5,205.60 = 2,200.80/x
  3. Step 3: Cross multiply
    3,772.96x = 5,205.60 × 2,200.80
  4. Step 4: Simplify right side
    3,772.96x = 11,456,484.48
  5. Step 5: Solve for x
    x = 11,456,484.48/3,772.96
  6. Step 6: Final answer
    x = 3,036.47

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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.