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Finding the Fourth Proportional to 5,745.74, 8,619.82 and 1,796.88

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Solution

The fourth proportional to 5,745.74, 8,619.82 and 1,796.88 is: 2,695.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.74 : 8,619.82 = 1,796.88 : x
  2. Step 2: Convert to fraction form
    5,745.74/8,619.82 = 1,796.88/x
  3. Step 3: Cross multiply
    5,745.74x = 8,619.82 × 1,796.88
  4. Step 4: Simplify right side
    5,745.74x = 15,488,809.99
  5. Step 5: Solve for x
    x = 15,488,809.99/5,745.74
  6. Step 6: Final answer
    x = 2,695.71

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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.