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Finding the Fourth Proportional to 5,827.38, 8,041.92 and 3,309.09

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Solution

The fourth proportional to 5,827.38, 8,041.92 and 3,309.09 is: 4,566.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.38 : 8,041.92 = 3,309.09 : x
  2. Step 2: Convert to fraction form
    5,827.38/8,041.92 = 3,309.09/x
  3. Step 3: Cross multiply
    5,827.38x = 8,041.92 × 3,309.09
  4. Step 4: Simplify right side
    5,827.38x = 26,611,380.30
  5. Step 5: Solve for x
    x = 26,611,380.30/5,827.38
  6. Step 6: Final answer
    x = 4,566.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.