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Finding the Fourth Proportional to 5,960.28, 8,262.87 and 5,644.31

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Solution

The fourth proportional to 5,960.28, 8,262.87 and 5,644.31 is: 7,824.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,960.28 : 8,262.87 = 5,644.31 : x
  2. Step 2: Convert to fraction form
    5,960.28/8,262.87 = 5,644.31/x
  3. Step 3: Cross multiply
    5,960.28x = 8,262.87 × 5,644.31
  4. Step 4: Simplify right side
    5,960.28x = 46,638,158.46
  5. Step 5: Solve for x
    x = 46,638,158.46/5,960.28
  6. Step 6: Final answer
    x = 7,824.83

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.