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Finding the Fourth Proportional to 3,714.07, 5,568.46 and 1,863.85

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Solution

The fourth proportional to 3,714.07, 5,568.46 and 1,863.85 is: 2,794.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.07 : 5,568.46 = 1,863.85 : x
  2. Step 2: Convert to fraction form
    3,714.07/5,568.46 = 1,863.85/x
  3. Step 3: Cross multiply
    3,714.07x = 5,568.46 × 1,863.85
  4. Step 4: Simplify right side
    3,714.07x = 10,378,774.17
  5. Step 5: Solve for x
    x = 10,378,774.17/3,714.07
  6. Step 6: Final answer
    x = 2,794.45

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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.