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Finding the Fourth Proportional to 3,714.49, 5,125.97 and 2,035.97

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Solution

The fourth proportional to 3,714.49, 5,125.97 and 2,035.97 is: 2,809.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.49 : 5,125.97 = 2,035.97 : x
  2. Step 2: Convert to fraction form
    3,714.49/5,125.97 = 2,035.97/x
  3. Step 3: Cross multiply
    3,714.49x = 5,125.97 × 2,035.97
  4. Step 4: Simplify right side
    3,714.49x = 10,436,300.60
  5. Step 5: Solve for x
    x = 10,436,300.60/3,714.49
  6. Step 6: Final answer
    x = 2,809.62

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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.