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Finding the Fourth Proportional to 4,786.51, 7,179.77 and 1,499.86

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Solution

The fourth proportional to 4,786.51, 7,179.77 and 1,499.86 is: 2,249.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786.51 : 7,179.77 = 1,499.86 : x
  2. Step 2: Convert to fraction form
    4,786.51/7,179.77 = 1,499.86/x
  3. Step 3: Cross multiply
    4,786.51x = 7,179.77 × 1,499.86
  4. Step 4: Simplify right side
    4,786.51x = 10,768,624.38
  5. Step 5: Solve for x
    x = 10,768,624.38/4,786.51
  6. Step 6: Final answer
    x = 2,249.79

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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.