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Finding the Fourth Proportional to 5,523.87, 7,623.12 and 3,166.46

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Solution

The fourth proportional to 5,523.87, 7,623.12 and 3,166.46 is: 4,369.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,523.87 : 7,623.12 = 3,166.46 : x
  2. Step 2: Convert to fraction form
    5,523.87/7,623.12 = 3,166.46/x
  3. Step 3: Cross multiply
    5,523.87x = 7,623.12 × 3,166.46
  4. Step 4: Simplify right side
    5,523.87x = 24,138,304.56
  5. Step 5: Solve for x
    x = 24,138,304.56/5,523.87
  6. Step 6: Final answer
    x = 4,369.82

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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.