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Finding the Fourth Proportional to 4,161.80, 6,251.70 and 2,519.12

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Solution

The fourth proportional to 4,161.80, 6,251.70 and 2,519.12 is: 3,784.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161.80 : 6,251.70 = 2,519.12 : x
  2. Step 2: Convert to fraction form
    4,161.80/6,251.70 = 2,519.12/x
  3. Step 3: Cross multiply
    4,161.80x = 6,251.70 × 2,519.12
  4. Step 4: Simplify right side
    4,161.80x = 15,748,782.50
  5. Step 5: Solve for x
    x = 15,748,782.50/4,161.80
  6. Step 6: Final answer
    x = 3,784.13

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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.