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Finding the Fourth Proportional to 3,714.14, 5,125.49 and 2,035.61

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Solution

The fourth proportional to 3,714.14, 5,125.49 and 2,035.61 is: 2,809.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.14 : 5,125.49 = 2,035.61 : x
  2. Step 2: Convert to fraction form
    3,714.14/5,125.49 = 2,035.61/x
  3. Step 3: Cross multiply
    3,714.14x = 5,125.49 × 2,035.61
  4. Step 4: Simplify right side
    3,714.14x = 10,433,530.03
  5. Step 5: Solve for x
    x = 10,433,530.03/3,714.14
  6. Step 6: Final answer
    x = 2,809.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.