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Finding the Fourth Proportional to 5,954.60, 8,213.55 and 3,829.42

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Solution

The fourth proportional to 5,954.60, 8,213.55 and 3,829.42 is: 5,282.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,954.60 : 8,213.55 = 3,829.42 : x
  2. Step 2: Convert to fraction form
    5,954.60/8,213.55 = 3,829.42/x
  3. Step 3: Cross multiply
    5,954.60x = 8,213.55 × 3,829.42
  4. Step 4: Simplify right side
    5,954.60x = 31,453,132.64
  5. Step 5: Solve for x
    x = 31,453,132.64/5,954.60
  6. Step 6: Final answer
    x = 5,282.16

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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.