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Finding the Fourth Proportional to 3,874.91, 5,349.11 and 2,930.85

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Solution

The fourth proportional to 3,874.91, 5,349.11 and 2,930.85 is: 4,045.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.91 : 5,349.11 = 2,930.85 : x
  2. Step 2: Convert to fraction form
    3,874.91/5,349.11 = 2,930.85/x
  3. Step 3: Cross multiply
    3,874.91x = 5,349.11 × 2,930.85
  4. Step 4: Simplify right side
    3,874.91x = 15,677,424.39
  5. Step 5: Solve for x
    x = 15,677,424.39/3,874.91
  6. Step 6: Final answer
    x = 4,045.89

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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.