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Finding the Fourth Proportional to 3,418.38, 4,714.68 and 2,474.31

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Solution

The fourth proportional to 3,418.38, 4,714.68 and 2,474.31 is: 3,412.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,418.38 : 4,714.68 = 2,474.31 : x
  2. Step 2: Convert to fraction form
    3,418.38/4,714.68 = 2,474.31/x
  3. Step 3: Cross multiply
    3,418.38x = 4,714.68 × 2,474.31
  4. Step 4: Simplify right side
    3,418.38x = 11,665,579.87
  5. Step 5: Solve for x
    x = 11,665,579.87/3,418.38
  6. Step 6: Final answer
    x = 3,412.60

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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.