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Finding the Fourth Proportional to 5,752.72, 7,938.71 and 3,234.83

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Solution

The fourth proportional to 5,752.72, 7,938.71 and 3,234.83 is: 4,464.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.72 : 7,938.71 = 3,234.83 : x
  2. Step 2: Convert to fraction form
    5,752.72/7,938.71 = 3,234.83/x
  3. Step 3: Cross multiply
    5,752.72x = 7,938.71 × 3,234.83
  4. Step 4: Simplify right side
    5,752.72x = 25,680,369.18
  5. Step 5: Solve for x
    x = 25,680,369.18/5,752.72
  6. Step 6: Final answer
    x = 4,464.04

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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.