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Finding the Fourth Proportional to 3,397.82, 5,096.48 and 1,524.29

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Solution

The fourth proportional to 3,397.82, 5,096.48 and 1,524.29 is: 2,286.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.82 : 5,096.48 = 1,524.29 : x
  2. Step 2: Convert to fraction form
    3,397.82/5,096.48 = 1,524.29/x
  3. Step 3: Cross multiply
    3,397.82x = 5,096.48 × 1,524.29
  4. Step 4: Simplify right side
    3,397.82x = 7,768,480.40
  5. Step 5: Solve for x
    x = 7,768,480.40/3,397.82
  6. Step 6: Final answer
    x = 2,286.32

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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.