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Finding the Fourth Proportional to 3,829.56, 5,744.54 and 1,197.42

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Solution

The fourth proportional to 3,829.56, 5,744.54 and 1,197.42 is: 1,796.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.56 : 5,744.54 = 1,197.42 : x
  2. Step 2: Convert to fraction form
    3,829.56/5,744.54 = 1,197.42/x
  3. Step 3: Cross multiply
    3,829.56x = 5,744.54 × 1,197.42
  4. Step 4: Simplify right side
    3,829.56x = 6,878,627.09
  5. Step 5: Solve for x
    x = 6,878,627.09/3,829.56
  6. Step 6: Final answer
    x = 1,796.19

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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.