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Finding the Fourth Proportional to 5,767.85, 8,665.61 and 3,691.91

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Solution

The fourth proportional to 5,767.85, 8,665.61 and 3,691.91 is: 5,546.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.85 : 8,665.61 = 3,691.91 : x
  2. Step 2: Convert to fraction form
    5,767.85/8,665.61 = 3,691.91/x
  3. Step 3: Cross multiply
    5,767.85x = 8,665.61 × 3,691.91
  4. Step 4: Simplify right side
    5,767.85x = 31,992,590.43
  5. Step 5: Solve for x
    x = 31,992,590.43/5,767.85
  6. Step 6: Final answer
    x = 5,546.71

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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.