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Finding the Fourth Proportional to 5,864.35, 8,093 and 3,211.78

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Solution

The fourth proportional to 5,864.35, 8,093 and 3,211.78 is: 4,432.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,864.35 : 8,093 = 3,211.78 : x
  2. Step 2: Convert to fraction form
    5,864.35/8,093 = 3,211.78/x
  3. Step 3: Cross multiply
    5,864.35x = 8,093 × 3,211.78
  4. Step 4: Simplify right side
    5,864.35x = 25,992,935.54
  5. Step 5: Solve for x
    x = 25,992,935.54/5,864.35
  6. Step 6: Final answer
    x = 4,432.36

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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.