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Finding the Fourth Proportional to 5,889.57, 8,833.23 and 1,729.77

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Solution

The fourth proportional to 5,889.57, 8,833.23 and 1,729.77 is: 2,594.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,889.57 : 8,833.23 = 1,729.77 : x
  2. Step 2: Convert to fraction form
    5,889.57/8,833.23 = 1,729.77/x
  3. Step 3: Cross multiply
    5,889.57x = 8,833.23 × 1,729.77
  4. Step 4: Simplify right side
    5,889.57x = 15,279,456.26
  5. Step 5: Solve for x
    x = 15,279,456.26/5,889.57
  6. Step 6: Final answer
    x = 2,594.32

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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.