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Finding the Fourth Proportional to 5,745.69, 7,932.29 and 3,758.27

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Solution

The fourth proportional to 5,745.69, 7,932.29 and 3,758.27 is: 5,188.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.69 : 7,932.29 = 3,758.27 : x
  2. Step 2: Convert to fraction form
    5,745.69/7,932.29 = 3,758.27/x
  3. Step 3: Cross multiply
    5,745.69x = 7,932.29 × 3,758.27
  4. Step 4: Simplify right side
    5,745.69x = 29,811,629.09
  5. Step 5: Solve for x
    x = 29,811,629.09/5,745.69
  6. Step 6: Final answer
    x = 5,188.52

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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.