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Finding the Fourth Proportional to 5,191.50, 7,788.09 and 1,682.39

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Solution

The fourth proportional to 5,191.50, 7,788.09 and 1,682.39 is: 2,523.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.50 : 7,788.09 = 1,682.39 : x
  2. Step 2: Convert to fraction form
    5,191.50/7,788.09 = 1,682.39/x
  3. Step 3: Cross multiply
    5,191.50x = 7,788.09 × 1,682.39
  4. Step 4: Simplify right side
    5,191.50x = 13,102,604.74
  5. Step 5: Solve for x
    x = 13,102,604.74/5,191.50
  6. Step 6: Final answer
    x = 2,523.86

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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.