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Finding the Fourth Proportional to 5,772.24, 7,965.22 and 3,254.97

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Solution

The fourth proportional to 5,772.24, 7,965.22 and 3,254.97 is: 4,491.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.24 : 7,965.22 = 3,254.97 : x
  2. Step 2: Convert to fraction form
    5,772.24/7,965.22 = 3,254.97/x
  3. Step 3: Cross multiply
    5,772.24x = 7,965.22 × 3,254.97
  4. Step 4: Simplify right side
    5,772.24x = 25,926,544.01
  5. Step 5: Solve for x
    x = 25,926,544.01/5,772.24
  6. Step 6: Final answer
    x = 4,491.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.