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Finding the Fourth Proportional to 3,767.32, 5,200.12 and 2,195.12

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Solution

The fourth proportional to 3,767.32, 5,200.12 and 2,195.12 is: 3,029.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.32 : 5,200.12 = 2,195.12 : x
  2. Step 2: Convert to fraction form
    3,767.32/5,200.12 = 2,195.12/x
  3. Step 3: Cross multiply
    3,767.32x = 5,200.12 × 2,195.12
  4. Step 4: Simplify right side
    3,767.32x = 11,414,887.41
  5. Step 5: Solve for x
    x = 11,414,887.41/3,767.32
  6. Step 6: Final answer
    x = 3,029.98

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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.