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Finding the Fourth Proportional to 5,693.28, 8,541 and 2,770.80

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Solution

The fourth proportional to 5,693.28, 8,541 and 2,770.80 is: 4,156.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.28 : 8,541 = 2,770.80 : x
  2. Step 2: Convert to fraction form
    5,693.28/8,541 = 2,770.80/x
  3. Step 3: Cross multiply
    5,693.28x = 8,541 × 2,770.80
  4. Step 4: Simplify right side
    5,693.28x = 23,665,402.80
  5. Step 5: Solve for x
    x = 23,665,402.80/5,693.28
  6. Step 6: Final answer
    x = 4,156.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.