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Finding the Fourth Proportional to 4,786.87, 7,180.30 and 1,500.22

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Solution

The fourth proportional to 4,786.87, 7,180.30 and 1,500.22 is: 2,250.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786.87 : 7,180.30 = 1,500.22 : x
  2. Step 2: Convert to fraction form
    4,786.87/7,180.30 = 1,500.22/x
  3. Step 3: Cross multiply
    4,786.87x = 7,180.30 × 1,500.22
  4. Step 4: Simplify right side
    4,786.87x = 10,772,029.67
  5. Step 5: Solve for x
    x = 10,772,029.67/4,786.87
  6. Step 6: Final answer
    x = 2,250.33

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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.