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Finding the Fourth Proportional to 4,196.88, 5,759.64 and 3,757.05

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Solution

The fourth proportional to 4,196.88, 5,759.64 and 3,757.05 is: 5,156.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.88 : 5,759.64 = 3,757.05 : x
  2. Step 2: Convert to fraction form
    4,196.88/5,759.64 = 3,757.05/x
  3. Step 3: Cross multiply
    4,196.88x = 5,759.64 × 3,757.05
  4. Step 4: Simplify right side
    4,196.88x = 21,639,255.46
  5. Step 5: Solve for x
    x = 21,639,255.46/4,196.88
  6. Step 6: Final answer
    x = 5,156.03

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.