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Finding the Fourth Proportional to 3,401.04, 5,094 and 2,744.88

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Solution

The fourth proportional to 3,401.04, 5,094 and 2,744.88 is: 4,111.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.04 : 5,094 = 2,744.88 : x
  2. Step 2: Convert to fraction form
    3,401.04/5,094 = 2,744.88/x
  3. Step 3: Cross multiply
    3,401.04x = 5,094 × 2,744.88
  4. Step 4: Simplify right side
    3,401.04x = 13,982,418.72
  5. Step 5: Solve for x
    x = 13,982,418.72/3,401.04
  6. Step 6: Final answer
    x = 4,111.22

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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.