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Finding the Fourth Proportional to 4,262.54, 5,882.27 and 2,493.77

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Solution

The fourth proportional to 4,262.54, 5,882.27 and 2,493.77 is: 3,441.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,262.54 : 5,882.27 = 2,493.77 : x
  2. Step 2: Convert to fraction form
    4,262.54/5,882.27 = 2,493.77/x
  3. Step 3: Cross multiply
    4,262.54x = 5,882.27 × 2,493.77
  4. Step 4: Simplify right side
    4,262.54x = 14,668,986.58
  5. Step 5: Solve for x
    x = 14,668,986.58/4,262.54
  6. Step 6: Final answer
    x = 3,441.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.