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Finding the Fourth Proportional to 3,739.86, 5,161.12 and 2,061.38

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Solution

The fourth proportional to 3,739.86, 5,161.12 and 2,061.38 is: 2,844.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,739.86 : 5,161.12 = 2,061.38 : x
  2. Step 2: Convert to fraction form
    3,739.86/5,161.12 = 2,061.38/x
  3. Step 3: Cross multiply
    3,739.86x = 5,161.12 × 2,061.38
  4. Step 4: Simplify right side
    3,739.86x = 10,639,039.45
  5. Step 5: Solve for x
    x = 10,639,039.45/3,739.86
  6. Step 6: Final answer
    x = 2,844.77

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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.