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Finding the Fourth Proportional to 3,714.14, 5,568.54 and 1,863.68

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Solution

The fourth proportional to 3,714.14, 5,568.54 and 1,863.68 is: 2,794.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.14 : 5,568.54 = 1,863.68 : x
  2. Step 2: Convert to fraction form
    3,714.14/5,568.54 = 1,863.68/x
  3. Step 3: Cross multiply
    3,714.14x = 5,568.54 × 1,863.68
  4. Step 4: Simplify right side
    3,714.14x = 10,377,976.63
  5. Step 5: Solve for x
    x = 10,377,976.63/3,714.14
  6. Step 6: Final answer
    x = 2,794.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.