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Finding the Fourth Proportional to 5,825.52, 8,738.30 and 1,721.52

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Solution

The fourth proportional to 5,825.52, 8,738.30 and 1,721.52 is: 2,582.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,825.52 : 8,738.30 = 1,721.52 : x
  2. Step 2: Convert to fraction form
    5,825.52/8,738.30 = 1,721.52/x
  3. Step 3: Cross multiply
    5,825.52x = 8,738.30 × 1,721.52
  4. Step 4: Simplify right side
    5,825.52x = 15,043,158.22
  5. Step 5: Solve for x
    x = 15,043,158.22/5,825.52
  6. Step 6: Final answer
    x = 2,582.29

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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.