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Finding the Fourth Proportional to 3,832.60, 5,738.10 and 3,724.60

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Solution

The fourth proportional to 3,832.60, 5,738.10 and 3,724.60 is: 5,576.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.60 : 5,738.10 = 3,724.60 : x
  2. Step 2: Convert to fraction form
    3,832.60/5,738.10 = 3,724.60/x
  3. Step 3: Cross multiply
    3,832.60x = 5,738.10 × 3,724.60
  4. Step 4: Simplify right side
    3,832.60x = 21,372,127.26
  5. Step 5: Solve for x
    x = 21,372,127.26/3,832.60
  6. Step 6: Final answer
    x = 5,576.40

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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.