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Finding the Fourth Proportional to 3,946.44, 5,446.56 and 2,455.80

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Solution

The fourth proportional to 3,946.44, 5,446.56 and 2,455.80 is: 3,389.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.44 : 5,446.56 = 2,455.80 : x
  2. Step 2: Convert to fraction form
    3,946.44/5,446.56 = 2,455.80/x
  3. Step 3: Cross multiply
    3,946.44x = 5,446.56 × 2,455.80
  4. Step 4: Simplify right side
    3,946.44x = 13,375,662.05
  5. Step 5: Solve for x
    x = 13,375,662.05/3,946.44
  6. Step 6: Final answer
    x = 3,389.30

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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.