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Finding the Fourth Proportional to 5,864.74, 8,092.92 and 3,211.72

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Solution

The fourth proportional to 5,864.74, 8,092.92 and 3,211.72 is: 4,431.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,864.74 : 8,092.92 = 3,211.72 : x
  2. Step 2: Convert to fraction form
    5,864.74/8,092.92 = 3,211.72/x
  3. Step 3: Cross multiply
    5,864.74x = 8,092.92 × 3,211.72
  4. Step 4: Simplify right side
    5,864.74x = 25,992,193.02
  5. Step 5: Solve for x
    x = 25,992,193.02/5,864.74
  6. Step 6: Final answer
    x = 4,431.94

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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.