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Finding the Fourth Proportional to 7,297.29, 10,949.58 and 2,916

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Solution

The fourth proportional to 7,297.29, 10,949.58 and 2,916 is: 4,375.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297.29 : 10,949.58 = 2,916 : x
  2. Step 2: Convert to fraction form
    7,297.29/10,949.58 = 2,916/x
  3. Step 3: Cross multiply
    7,297.29x = 10,949.58 × 2,916
  4. Step 4: Simplify right side
    7,297.29x = 31,928,975.28
  5. Step 5: Solve for x
    x = 31,928,975.28/7,297.29
  6. Step 6: Final answer
    x = 4,375.46

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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.