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Finding the Fourth Proportional to 5,297.72, 7,948.83 and 2,663.84

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Solution

The fourth proportional to 5,297.72, 7,948.83 and 2,663.84 is: 3,996.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.72 : 7,948.83 = 2,663.84 : x
  2. Step 2: Convert to fraction form
    5,297.72/7,948.83 = 2,663.84/x
  3. Step 3: Cross multiply
    5,297.72x = 7,948.83 × 2,663.84
  4. Step 4: Simplify right side
    5,297.72x = 21,174,371.56
  5. Step 5: Solve for x
    x = 21,174,371.56/5,297.72
  6. Step 6: Final answer
    x = 3,996.88

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1.5x scale

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.