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Finding the Fourth Proportional to 4,164.80, 5,735.73 and 4,074.08

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Solution

The fourth proportional to 4,164.80, 5,735.73 and 4,074.08 is: 5,610.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.80 : 5,735.73 = 4,074.08 : x
  2. Step 2: Convert to fraction form
    4,164.80/5,735.73 = 4,074.08/x
  3. Step 3: Cross multiply
    4,164.80x = 5,735.73 × 4,074.08
  4. Step 4: Simplify right side
    4,164.80x = 23,367,822.88
  5. Step 5: Solve for x
    x = 23,367,822.88/4,164.80
  6. Step 6: Final answer
    x = 5,610.79

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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.