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Finding the Fourth Proportional to 3,764.07, 5,193.72 and 2,191.86

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Solution

The fourth proportional to 3,764.07, 5,193.72 and 2,191.86 is: 3,024.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.07 : 5,193.72 = 2,191.86 : x
  2. Step 2: Convert to fraction form
    3,764.07/5,193.72 = 2,191.86/x
  3. Step 3: Cross multiply
    3,764.07x = 5,193.72 × 2,191.86
  4. Step 4: Simplify right side
    3,764.07x = 11,383,907.12
  5. Step 5: Solve for x
    x = 11,383,907.12/3,764.07
  6. Step 6: Final answer
    x = 3,024.36

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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.