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Finding the Fourth Proportional to 5,753.30, 8,623.17 and 3,289.82

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Solution

The fourth proportional to 5,753.30, 8,623.17 and 3,289.82 is: 4,930.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,753.30 : 8,623.17 = 3,289.82 : x
  2. Step 2: Convert to fraction form
    5,753.30/8,623.17 = 3,289.82/x
  3. Step 3: Cross multiply
    5,753.30x = 8,623.17 × 3,289.82
  4. Step 4: Simplify right side
    5,753.30x = 28,368,634.01
  5. Step 5: Solve for x
    x = 28,368,634.01/5,753.30
  6. Step 6: Final answer
    x = 4,930.85

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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.