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Finding the Fourth Proportional to 5,770.67, 7,963.49 and 3,253.05

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Solution

The fourth proportional to 5,770.67, 7,963.49 and 3,253.05 is: 4,489.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.67 : 7,963.49 = 3,253.05 : x
  2. Step 2: Convert to fraction form
    5,770.67/7,963.49 = 3,253.05/x
  3. Step 3: Cross multiply
    5,770.67x = 7,963.49 × 3,253.05
  4. Step 4: Simplify right side
    5,770.67x = 25,905,614.88
  5. Step 5: Solve for x
    x = 25,905,614.88/5,770.67
  6. Step 6: Final answer
    x = 4,489.19

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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.