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Finding the Fourth Proportional to 3,714.66, 5,568.52 and 1,863.61

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Solution

The fourth proportional to 3,714.66, 5,568.52 and 1,863.61 is: 2,793.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.66 : 5,568.52 = 1,863.61 : x
  2. Step 2: Convert to fraction form
    3,714.66/5,568.52 = 1,863.61/x
  3. Step 3: Cross multiply
    3,714.66x = 5,568.52 × 1,863.61
  4. Step 4: Simplify right side
    3,714.66x = 10,377,554.22
  5. Step 5: Solve for x
    x = 10,377,554.22/3,714.66
  6. Step 6: Final answer
    x = 2,793.67

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Why These Related Problems?

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