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Finding the Fourth Proportional to 4,138.21, 5,714.38 and 2,815.08

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Solution

The fourth proportional to 4,138.21, 5,714.38 and 2,815.08 is: 3,887.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.21 : 5,714.38 = 2,815.08 : x
  2. Step 2: Convert to fraction form
    4,138.21/5,714.38 = 2,815.08/x
  3. Step 3: Cross multiply
    4,138.21x = 5,714.38 × 2,815.08
  4. Step 4: Simplify right side
    4,138.21x = 16,086,436.85
  5. Step 5: Solve for x
    x = 16,086,436.85/4,138.21
  6. Step 6: Final answer
    x = 3,887.29

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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.