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Finding the Fourth Proportional to 4,786.74, 7,182.54 and 3,404.07

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Solution

The fourth proportional to 4,786.74, 7,182.54 and 3,404.07 is: 5,107.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786.74 : 7,182.54 = 3,404.07 : x
  2. Step 2: Convert to fraction form
    4,786.74/7,182.54 = 3,404.07/x
  3. Step 3: Cross multiply
    4,786.74x = 7,182.54 × 3,404.07
  4. Step 4: Simplify right side
    4,786.74x = 24,449,868.94
  5. Step 5: Solve for x
    x = 24,449,868.94/4,786.74
  6. Step 6: Final answer
    x = 5,107.83

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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.