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Finding the Fourth Proportional to 7,297.60, 10,949.52 and 3,401.44

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Solution

The fourth proportional to 7,297.60, 10,949.52 and 3,401.44 is: 5,103.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297.60 : 10,949.52 = 3,401.44 : x
  2. Step 2: Convert to fraction form
    7,297.60/10,949.52 = 3,401.44/x
  3. Step 3: Cross multiply
    7,297.60x = 10,949.52 × 3,401.44
  4. Step 4: Simplify right side
    7,297.60x = 37,244,135.31
  5. Step 5: Solve for x
    x = 37,244,135.31/7,297.60
  6. Step 6: Final answer
    x = 5,103.61

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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.