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Finding the Fourth Proportional to 5,889.40, 8,833.80 and 1,993.84

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Solution

The fourth proportional to 5,889.40, 8,833.80 and 1,993.84 is: 2,990.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,889.40 : 8,833.80 = 1,993.84 : x
  2. Step 2: Convert to fraction form
    5,889.40/8,833.80 = 1,993.84/x
  3. Step 3: Cross multiply
    5,889.40x = 8,833.80 × 1,993.84
  4. Step 4: Simplify right side
    5,889.40x = 17,613,183.79
  5. Step 5: Solve for x
    x = 17,613,183.79/5,889.40
  6. Step 6: Final answer
    x = 2,990.66

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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.