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Finding the Fourth Proportional to 4,827.30, 7,234.83 and 2,849.10

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Solution

The fourth proportional to 4,827.30, 7,234.83 and 2,849.10 is: 4,270.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,827.30 : 7,234.83 = 2,849.10 : x
  2. Step 2: Convert to fraction form
    4,827.30/7,234.83 = 2,849.10/x
  3. Step 3: Cross multiply
    4,827.30x = 7,234.83 × 2,849.10
  4. Step 4: Simplify right side
    4,827.30x = 20,612,754.15
  5. Step 5: Solve for x
    x = 20,612,754.15/4,827.30
  6. Step 6: Final answer
    x = 4,270.04

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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.