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Finding the Fourth Proportional to 3,793.80, 5,232.42 and 2,805.60

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Solution

The fourth proportional to 3,793.80, 5,232.42 and 2,805.60 is: 3,869.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.80 : 5,232.42 = 2,805.60 : x
  2. Step 2: Convert to fraction form
    3,793.80/5,232.42 = 2,805.60/x
  3. Step 3: Cross multiply
    3,793.80x = 5,232.42 × 2,805.60
  4. Step 4: Simplify right side
    3,793.80x = 14,680,077.55
  5. Step 5: Solve for x
    x = 14,680,077.55/3,793.80
  6. Step 6: Final answer
    x = 3,869.49

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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.