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Finding the Fourth Proportional to 4,900.23, 7,343.82 and 2,297.70

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Solution

The fourth proportional to 4,900.23, 7,343.82 and 2,297.70 is: 3,443.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900.23 : 7,343.82 = 2,297.70 : x
  2. Step 2: Convert to fraction form
    4,900.23/7,343.82 = 2,297.70/x
  3. Step 3: Cross multiply
    4,900.23x = 7,343.82 × 2,297.70
  4. Step 4: Simplify right side
    4,900.23x = 16,873,895.21
  5. Step 5: Solve for x
    x = 16,873,895.21/4,900.23
  6. Step 6: Final answer
    x = 3,443.49

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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.