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Finding the Fourth Proportional to 4,157.44, 6,195.64 and 4,037.49

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Solution

The fourth proportional to 4,157.44, 6,195.64 and 4,037.49 is: 6,016.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.44 : 6,195.64 = 4,037.49 : x
  2. Step 2: Convert to fraction form
    4,157.44/6,195.64 = 4,037.49/x
  3. Step 3: Cross multiply
    4,157.44x = 6,195.64 × 4,037.49
  4. Step 4: Simplify right side
    4,157.44x = 25,014,834.54
  5. Step 5: Solve for x
    x = 25,014,834.54/4,157.44
  6. Step 6: Final answer
    x = 6,016.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.