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Finding the Fourth Proportional to 3,199.93, 4,414.12 and 1,873.38

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Solution

The fourth proportional to 3,199.93, 4,414.12 and 1,873.38 is: 2,584.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,199.93 : 4,414.12 = 1,873.38 : x
  2. Step 2: Convert to fraction form
    3,199.93/4,414.12 = 1,873.38/x
  3. Step 3: Cross multiply
    3,199.93x = 4,414.12 × 1,873.38
  4. Step 4: Simplify right side
    3,199.93x = 8,269,324.13
  5. Step 5: Solve for x
    x = 8,269,324.13/3,199.93
  6. Step 6: Final answer
    x = 2,584.22

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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.