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Finding the Fourth Proportional to 3,967, 5,476.76 and 3,037.24

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Solution

The fourth proportional to 3,967, 5,476.76 and 3,037.24 is: 4,193.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967 : 5,476.76 = 3,037.24 : x
  2. Step 2: Convert to fraction form
    3,967/5,476.76 = 3,037.24/x
  3. Step 3: Cross multiply
    3,967x = 5,476.76 × 3,037.24
  4. Step 4: Simplify right side
    3,967x = 16,634,234.54
  5. Step 5: Solve for x
    x = 16,634,234.54/3,967
  6. Step 6: Final answer
    x = 4,193.15

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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.