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Finding the Fourth Proportional to 5,946.90, 8,920.20 and 3,451.82

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Solution

The fourth proportional to 5,946.90, 8,920.20 and 3,451.82 is: 5,177.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.90 : 8,920.20 = 3,451.82 : x
  2. Step 2: Convert to fraction form
    5,946.90/8,920.20 = 3,451.82/x
  3. Step 3: Cross multiply
    5,946.90x = 8,920.20 × 3,451.82
  4. Step 4: Simplify right side
    5,946.90x = 30,790,924.76
  5. Step 5: Solve for x
    x = 30,790,924.76/5,946.90
  6. Step 6: Final answer
    x = 5,177.64

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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.