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Finding the Fourth Proportional to 4,161.90, 5,735.90 and 3,449.99

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Solution

The fourth proportional to 4,161.90, 5,735.90 and 3,449.99 is: 4,754.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161.90 : 5,735.90 = 3,449.99 : x
  2. Step 2: Convert to fraction form
    4,161.90/5,735.90 = 3,449.99/x
  3. Step 3: Cross multiply
    4,161.90x = 5,735.90 × 3,449.99
  4. Step 4: Simplify right side
    4,161.90x = 19,788,797.64
  5. Step 5: Solve for x
    x = 19,788,797.64/4,161.90
  6. Step 6: Final answer
    x = 4,754.75

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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.