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Finding the Fourth Proportional to 3,842.54, 5,324.12 and 3,759.50

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Solution

The fourth proportional to 3,842.54, 5,324.12 and 3,759.50 is: 5,209.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.54 : 5,324.12 = 3,759.50 : x
  2. Step 2: Convert to fraction form
    3,842.54/5,324.12 = 3,759.50/x
  3. Step 3: Cross multiply
    3,842.54x = 5,324.12 × 3,759.50
  4. Step 4: Simplify right side
    3,842.54x = 20,016,029.14
  5. Step 5: Solve for x
    x = 20,016,029.14/3,842.54
  6. Step 6: Final answer
    x = 5,209.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.