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Finding the Fourth Proportional to 5,739.87, 7,923 and 3,618.98

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Solution

The fourth proportional to 5,739.87, 7,923 and 3,618.98 is: 4,995.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.87 : 7,923 = 3,618.98 : x
  2. Step 2: Convert to fraction form
    5,739.87/7,923 = 3,618.98/x
  3. Step 3: Cross multiply
    5,739.87x = 7,923 × 3,618.98
  4. Step 4: Simplify right side
    5,739.87x = 28,673,138.93
  5. Step 5: Solve for x
    x = 28,673,138.93/5,739.87
  6. Step 6: Final answer
    x = 4,995.43

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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.