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Finding the Fourth Proportional to 5,231.88, 7,846.95 and 1,721.93

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Solution

The fourth proportional to 5,231.88, 7,846.95 and 1,721.93 is: 2,582.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,231.88 : 7,846.95 = 1,721.93 : x
  2. Step 2: Convert to fraction form
    5,231.88/7,846.95 = 1,721.93/x
  3. Step 3: Cross multiply
    5,231.88x = 7,846.95 × 1,721.93
  4. Step 4: Simplify right side
    5,231.88x = 13,511,895.26
  5. Step 5: Solve for x
    x = 13,511,895.26/5,231.88
  6. Step 6: Final answer
    x = 2,582.61

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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.