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Finding the Fourth Proportional to 4,195.25, 5,747.54 and 4,037.64

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Solution

The fourth proportional to 4,195.25, 5,747.54 and 4,037.64 is: 5,531.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,195.25 : 5,747.54 = 4,037.64 : x
  2. Step 2: Convert to fraction form
    4,195.25/5,747.54 = 4,037.64/x
  3. Step 3: Cross multiply
    4,195.25x = 5,747.54 × 4,037.64
  4. Step 4: Simplify right side
    4,195.25x = 23,206,497.41
  5. Step 5: Solve for x
    x = 23,206,497.41/4,195.25
  6. Step 6: Final answer
    x = 5,531.61

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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.