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Finding the Fourth Proportional to 3,718.43, 5,131.21 and 2,039.50

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Solution

The fourth proportional to 3,718.43, 5,131.21 and 2,039.50 is: 2,814.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,718.43 : 5,131.21 = 2,039.50 : x
  2. Step 2: Convert to fraction form
    3,718.43/5,131.21 = 2,039.50/x
  3. Step 3: Cross multiply
    3,718.43x = 5,131.21 × 2,039.50
  4. Step 4: Simplify right side
    3,718.43x = 10,465,102.80
  5. Step 5: Solve for x
    x = 10,465,102.80/3,718.43
  6. Step 6: Final answer
    x = 2,814.39

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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.