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Finding the Fourth Proportional to 5,889.92, 8,835 and 1,729.48

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Solution

The fourth proportional to 5,889.92, 8,835 and 1,729.48 is: 2,594.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,889.92 : 8,835 = 1,729.48 : x
  2. Step 2: Convert to fraction form
    5,889.92/8,835 = 1,729.48/x
  3. Step 3: Cross multiply
    5,889.92x = 8,835 × 1,729.48
  4. Step 4: Simplify right side
    5,889.92x = 15,279,955.80
  5. Step 5: Solve for x
    x = 15,279,955.80/5,889.92
  6. Step 6: Final answer
    x = 2,594.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.