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Finding the Fourth Proportional to 5,744.88, 7,923.69 and 3,728.79

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Solution

The fourth proportional to 5,744.88, 7,923.69 and 3,728.79 is: 5,142.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.88 : 7,923.69 = 3,728.79 : x
  2. Step 2: Convert to fraction form
    5,744.88/7,923.69 = 3,728.79/x
  3. Step 3: Cross multiply
    5,744.88x = 7,923.69 × 3,728.79
  4. Step 4: Simplify right side
    5,744.88x = 29,545,776.04
  5. Step 5: Solve for x
    x = 29,545,776.04/5,744.88
  6. Step 6: Final answer
    x = 5,142.98

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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.