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Finding the Fourth Proportional to 3,778.03, 5,689.33 and 3,296.89

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Solution

The fourth proportional to 3,778.03, 5,689.33 and 3,296.89 is: 4,964.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.03 : 5,689.33 = 3,296.89 : x
  2. Step 2: Convert to fraction form
    3,778.03/5,689.33 = 3,296.89/x
  3. Step 3: Cross multiply
    3,778.03x = 5,689.33 × 3,296.89
  4. Step 4: Simplify right side
    3,778.03x = 18,757,095.18
  5. Step 5: Solve for x
    x = 18,757,095.18/3,778.03
  6. Step 6: Final answer
    x = 4,964.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.