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Finding the Fourth Proportional to 3,983.52, 5,977.92 and 3,952.74

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Solution

The fourth proportional to 3,983.52, 5,977.92 and 3,952.74 is: 5,931.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983.52 : 5,977.92 = 3,952.74 : x
  2. Step 2: Convert to fraction form
    3,983.52/5,977.92 = 3,952.74/x
  3. Step 3: Cross multiply
    3,983.52x = 5,977.92 × 3,952.74
  4. Step 4: Simplify right side
    3,983.52x = 23,629,163.50
  5. Step 5: Solve for x
    x = 23,629,163.50/3,983.52
  6. Step 6: Final answer
    x = 5,931.73

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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.