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Finding the Fourth Proportional to 3,802.80, 5,676.66 and 3,286.11

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Solution

The fourth proportional to 3,802.80, 5,676.66 and 3,286.11 is: 4,905.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.80 : 5,676.66 = 3,286.11 : x
  2. Step 2: Convert to fraction form
    3,802.80/5,676.66 = 3,286.11/x
  3. Step 3: Cross multiply
    3,802.80x = 5,676.66 × 3,286.11
  4. Step 4: Simplify right side
    3,802.80x = 18,654,129.19
  5. Step 5: Solve for x
    x = 18,654,129.19/3,802.80
  6. Step 6: Final answer
    x = 4,905.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.