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Finding the Fourth Proportional to 3,708.96, 5,112.12 and 2,812.41

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Solution

The fourth proportional to 3,708.96, 5,112.12 and 2,812.41 is: 3,876.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,708.96 : 5,112.12 = 2,812.41 : x
  2. Step 2: Convert to fraction form
    3,708.96/5,112.12 = 2,812.41/x
  3. Step 3: Cross multiply
    3,708.96x = 5,112.12 × 2,812.41
  4. Step 4: Simplify right side
    3,708.96x = 14,377,377.41
  5. Step 5: Solve for x
    x = 14,377,377.41/3,708.96
  6. Step 6: Final answer
    x = 3,876.39

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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.