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Finding the Fourth Proportional to 5,744.50, 7,924.74 and 3,754.32

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Solution

The fourth proportional to 5,744.50, 7,924.74 and 3,754.32 is: 5,179.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.50 : 7,924.74 = 3,754.32 : x
  2. Step 2: Convert to fraction form
    5,744.50/7,924.74 = 3,754.32/x
  3. Step 3: Cross multiply
    5,744.50x = 7,924.74 × 3,754.32
  4. Step 4: Simplify right side
    5,744.50x = 29,752,009.88
  5. Step 5: Solve for x
    x = 29,752,009.88/5,744.50
  6. Step 6: Final answer
    x = 5,179.22

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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.