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Finding the Fourth Proportional to 4,786.47, 7,179.71 and 1,499.82

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Solution

The fourth proportional to 4,786.47, 7,179.71 and 1,499.82 is: 2,249.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786.47 : 7,179.71 = 1,499.82 : x
  2. Step 2: Convert to fraction form
    4,786.47/7,179.71 = 1,499.82/x
  3. Step 3: Cross multiply
    4,786.47x = 7,179.71 × 1,499.82
  4. Step 4: Simplify right side
    4,786.47x = 10,768,238.23
  5. Step 5: Solve for x
    x = 10,768,238.23/4,786.47
  6. Step 6: Final answer
    x = 2,249.73

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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.