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Finding the Fourth Proportional to 5,890.49, 8,833.58 and 1,729.43

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Solution

The fourth proportional to 5,890.49, 8,833.58 and 1,729.43 is: 2,593.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.49 : 8,833.58 = 1,729.43 : x
  2. Step 2: Convert to fraction form
    5,890.49/8,833.58 = 1,729.43/x
  3. Step 3: Cross multiply
    5,890.49x = 8,833.58 × 1,729.43
  4. Step 4: Simplify right side
    5,890.49x = 15,277,049.61
  5. Step 5: Solve for x
    x = 15,277,049.61/5,890.49
  6. Step 6: Final answer
    x = 2,593.51

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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.