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Finding the Fourth Proportional to 4,943.92, 7,401.99 and 2,714.62

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Solution

The fourth proportional to 4,943.92, 7,401.99 and 2,714.62 is: 4,064.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,943.92 : 7,401.99 = 2,714.62 : x
  2. Step 2: Convert to fraction form
    4,943.92/7,401.99 = 2,714.62/x
  3. Step 3: Cross multiply
    4,943.92x = 7,401.99 × 2,714.62
  4. Step 4: Simplify right side
    4,943.92x = 20,093,590.09
  5. Step 5: Solve for x
    x = 20,093,590.09/4,943.92
  6. Step 6: Final answer
    x = 4,064.30

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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.