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Finding the Fourth Proportional to 4,786.62, 7,180.74 and 2,447.64

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Solution

The fourth proportional to 4,786.62, 7,180.74 and 2,447.64 is: 3,671.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786.62 : 7,180.74 = 2,447.64 : x
  2. Step 2: Convert to fraction form
    4,786.62/7,180.74 = 2,447.64/x
  3. Step 3: Cross multiply
    4,786.62x = 7,180.74 × 2,447.64
  4. Step 4: Simplify right side
    4,786.62x = 17,575,866.45
  5. Step 5: Solve for x
    x = 17,575,866.45/4,786.62
  6. Step 6: Final answer
    x = 3,671.87

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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.