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Finding the Fourth Proportional to 3,269.56, 4,498.82 and 3,191.80

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Solution

The fourth proportional to 3,269.56, 4,498.82 and 3,191.80 is: 4,391.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,269.56 : 4,498.82 = 3,191.80 : x
  2. Step 2: Convert to fraction form
    3,269.56/4,498.82 = 3,191.80/x
  3. Step 3: Cross multiply
    3,269.56x = 4,498.82 × 3,191.80
  4. Step 4: Simplify right side
    3,269.56x = 14,359,333.68
  5. Step 5: Solve for x
    x = 14,359,333.68/3,269.56
  6. Step 6: Final answer
    x = 4,391.82

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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.