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Finding the Fourth Proportional to 3,401.44, 5,102.16 and 1,349.44

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Solution

The fourth proportional to 3,401.44, 5,102.16 and 1,349.44 is: 2,024.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.44 : 5,102.16 = 1,349.44 : x
  2. Step 2: Convert to fraction form
    3,401.44/5,102.16 = 1,349.44/x
  3. Step 3: Cross multiply
    3,401.44x = 5,102.16 × 1,349.44
  4. Step 4: Simplify right side
    3,401.44x = 6,885,040.97
  5. Step 5: Solve for x
    x = 6,885,040.97/3,401.44
  6. Step 6: Final answer
    x = 2,024.16

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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.