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Finding the Fourth Proportional to 5,770.44, 7,957.98 and 3,780.27

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Solution

The fourth proportional to 5,770.44, 7,957.98 and 3,780.27 is: 5,213.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.44 : 7,957.98 = 3,780.27 : x
  2. Step 2: Convert to fraction form
    5,770.44/7,957.98 = 3,780.27/x
  3. Step 3: Cross multiply
    5,770.44x = 7,957.98 × 3,780.27
  4. Step 4: Simplify right side
    5,770.44x = 30,083,313.05
  5. Step 5: Solve for x
    x = 30,083,313.05/5,770.44
  6. Step 6: Final answer
    x = 5,213.35

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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.