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Finding the Fourth Proportional to 4,012.37, 6,014.91 and 1,819.91

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Solution

The fourth proportional to 4,012.37, 6,014.91 and 1,819.91 is: 2,728.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,012.37 : 6,014.91 = 1,819.91 : x
  2. Step 2: Convert to fraction form
    4,012.37/6,014.91 = 1,819.91/x
  3. Step 3: Cross multiply
    4,012.37x = 6,014.91 × 1,819.91
  4. Step 4: Simplify right side
    4,012.37x = 10,946,564.78
  5. Step 5: Solve for x
    x = 10,946,564.78/4,012.37
  6. Step 6: Final answer
    x = 2,728.20

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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.