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Finding the Fourth Proportional to 5,619.38, 7,754.74 and 3,262.88

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Solution

The fourth proportional to 5,619.38, 7,754.74 and 3,262.88 is: 4,502.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,619.38 : 7,754.74 = 3,262.88 : x
  2. Step 2: Convert to fraction form
    5,619.38/7,754.74 = 3,262.88/x
  3. Step 3: Cross multiply
    5,619.38x = 7,754.74 × 3,262.88
  4. Step 4: Simplify right side
    5,619.38x = 25,302,797.28
  5. Step 5: Solve for x
    x = 25,302,797.28/5,619.38
  6. Step 6: Final answer
    x = 4,502.78

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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.