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Finding the Fourth Proportional to 5,126.32, 7,694.03 and 2,662.84

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Solution

The fourth proportional to 5,126.32, 7,694.03 and 2,662.84 is: 3,996.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,126.32 : 7,694.03 = 2,662.84 : x
  2. Step 2: Convert to fraction form
    5,126.32/7,694.03 = 2,662.84/x
  3. Step 3: Cross multiply
    5,126.32x = 7,694.03 × 2,662.84
  4. Step 4: Simplify right side
    5,126.32x = 20,487,970.85
  5. Step 5: Solve for x
    x = 20,487,970.85/5,126.32
  6. Step 6: Final answer
    x = 3,996.62

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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.