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Finding the Fourth Proportional to 3,229.14, 4,841.09 and 3,045.80

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Solution

The fourth proportional to 3,229.14, 4,841.09 and 3,045.80 is: 4,566.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.14 : 4,841.09 = 3,045.80 : x
  2. Step 2: Convert to fraction form
    3,229.14/4,841.09 = 3,045.80/x
  3. Step 3: Cross multiply
    3,229.14x = 4,841.09 × 3,045.80
  4. Step 4: Simplify right side
    3,229.14x = 14,745,008.78
  5. Step 5: Solve for x
    x = 14,745,008.78/3,229.14
  6. Step 6: Final answer
    x = 4,566.23

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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.