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Finding the Fourth Proportional to 3,920.28, 5,880.33 and 998.57

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Solution

The fourth proportional to 3,920.28, 5,880.33 and 998.57 is: 1,497.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.28 : 5,880.33 = 998.57 : x
  2. Step 2: Convert to fraction form
    3,920.28/5,880.33 = 998.57/x
  3. Step 3: Cross multiply
    3,920.28x = 5,880.33 × 998.57
  4. Step 4: Simplify right side
    3,920.28x = 5,871,891.73
  5. Step 5: Solve for x
    x = 5,871,891.73/3,920.28
  6. Step 6: Final answer
    x = 1,497.82

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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.