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Finding the Fourth Proportional to 5,753.22, 7,938.88 and 3,234.75

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Solution

The fourth proportional to 5,753.22, 7,938.88 and 3,234.75 is: 4,463.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,753.22 : 7,938.88 = 3,234.75 : x
  2. Step 2: Convert to fraction form
    5,753.22/7,938.88 = 3,234.75/x
  3. Step 3: Cross multiply
    5,753.22x = 7,938.88 × 3,234.75
  4. Step 4: Simplify right side
    5,753.22x = 25,680,292.08
  5. Step 5: Solve for x
    x = 25,680,292.08/5,753.22
  6. Step 6: Final answer
    x = 4,463.64

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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.