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Finding the Fourth Proportional to 3,763.68, 5,194.16 and 2,191.88

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Solution

The fourth proportional to 3,763.68, 5,194.16 and 2,191.88 is: 3,024.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.68 : 5,194.16 = 2,191.88 : x
  2. Step 2: Convert to fraction form
    3,763.68/5,194.16 = 2,191.88/x
  3. Step 3: Cross multiply
    3,763.68x = 5,194.16 × 2,191.88
  4. Step 4: Simplify right side
    3,763.68x = 11,384,975.42
  5. Step 5: Solve for x
    x = 11,384,975.42/3,763.68
  6. Step 6: Final answer
    x = 3,024.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.