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Finding the Fourth Proportional to 3,763.64, 5,193.80 and 2,191.84

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Solution

The fourth proportional to 3,763.64, 5,193.80 and 2,191.84 is: 3,024.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.64 : 5,193.80 = 2,191.84 : x
  2. Step 2: Convert to fraction form
    3,763.64/5,193.80 = 2,191.84/x
  3. Step 3: Cross multiply
    3,763.64x = 5,193.80 × 2,191.84
  4. Step 4: Simplify right side
    3,763.64x = 11,383,978.59
  5. Step 5: Solve for x
    x = 11,383,978.59/3,763.64
  6. Step 6: Final answer
    x = 3,024.73

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