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Finding the Fourth Proportional to 5,960.25, 8,222.31 and 4,192.83

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Solution

The fourth proportional to 5,960.25, 8,222.31 and 4,192.83 is: 5,784.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,960.25 : 8,222.31 = 4,192.83 : x
  2. Step 2: Convert to fraction form
    5,960.25/8,222.31 = 4,192.83/x
  3. Step 3: Cross multiply
    5,960.25x = 8,222.31 × 4,192.83
  4. Step 4: Simplify right side
    5,960.25x = 34,474,748.04
  5. Step 5: Solve for x
    x = 34,474,748.04/5,960.25
  6. Step 6: Final answer
    x = 5,784.11

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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.