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Finding the Fourth Proportional to 3,541.44, 5,307.84 and 3,109.44

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Solution

The fourth proportional to 3,541.44, 5,307.84 and 3,109.44 is: 4,660.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,541.44 : 5,307.84 = 3,109.44 : x
  2. Step 2: Convert to fraction form
    3,541.44/5,307.84 = 3,109.44/x
  3. Step 3: Cross multiply
    3,541.44x = 5,307.84 × 3,109.44
  4. Step 4: Simplify right side
    3,541.44x = 16,504,410.01
  5. Step 5: Solve for x
    x = 16,504,410.01/3,541.44
  6. Step 6: Final answer
    x = 4,660.37

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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.