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Finding the Fourth Proportional to 3,946.88, 5,920.22 and 3,706.32

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Solution

The fourth proportional to 3,946.88, 5,920.22 and 3,706.32 is: 5,559.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.88 : 5,920.22 = 3,706.32 : x
  2. Step 2: Convert to fraction form
    3,946.88/5,920.22 = 3,706.32/x
  3. Step 3: Cross multiply
    3,946.88x = 5,920.22 × 3,706.32
  4. Step 4: Simplify right side
    3,946.88x = 21,942,229.79
  5. Step 5: Solve for x
    x = 21,942,229.79/3,946.88
  6. Step 6: Final answer
    x = 5,559.39

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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.