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Finding the Fourth Proportional to 4,786.24, 7,179.35 and 1,499.58

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Solution

The fourth proportional to 4,786.24, 7,179.35 and 1,499.58 is: 2,249.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786.24 : 7,179.35 = 1,499.58 : x
  2. Step 2: Convert to fraction form
    4,786.24/7,179.35 = 1,499.58/x
  3. Step 3: Cross multiply
    4,786.24x = 7,179.35 × 1,499.58
  4. Step 4: Simplify right side
    4,786.24x = 10,766,002.18
  5. Step 5: Solve for x
    x = 10,766,002.18/4,786.24
  6. Step 6: Final answer
    x = 2,249.37

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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.