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Finding the Fourth Proportional to 7,297.70, 10,944.07 and 2,300.02

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Solution

The fourth proportional to 7,297.70, 10,944.07 and 2,300.02 is: 3,449.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297.70 : 10,944.07 = 2,300.02 : x
  2. Step 2: Convert to fraction form
    7,297.70/10,944.07 = 2,300.02/x
  3. Step 3: Cross multiply
    7,297.70x = 10,944.07 × 2,300.02
  4. Step 4: Simplify right side
    7,297.70x = 25,171,593.72
  5. Step 5: Solve for x
    x = 25,171,593.72/7,297.70
  6. Step 6: Final answer
    x = 3,449.25

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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.