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Finding the Fourth Proportional to 3,234.28, 4,854.30 and 2,209

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Solution

The fourth proportional to 3,234.28, 4,854.30 and 2,209 is: 3,315.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234.28 : 4,854.30 = 2,209 : x
  2. Step 2: Convert to fraction form
    3,234.28/4,854.30 = 2,209/x
  3. Step 3: Cross multiply
    3,234.28x = 4,854.30 × 2,209
  4. Step 4: Simplify right side
    3,234.28x = 10,723,148.70
  5. Step 5: Solve for x
    x = 10,723,148.70/3,234.28
  6. Step 6: Final answer
    x = 3,315.47

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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.