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Finding the Fourth Proportional to 3,635.14, 5,452.70 and 899.14

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Solution

The fourth proportional to 3,635.14, 5,452.70 and 899.14 is: 1,348.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635.14 : 5,452.70 = 899.14 : x
  2. Step 2: Convert to fraction form
    3,635.14/5,452.70 = 899.14/x
  3. Step 3: Cross multiply
    3,635.14x = 5,452.70 × 899.14
  4. Step 4: Simplify right side
    3,635.14x = 4,902,740.68
  5. Step 5: Solve for x
    x = 4,902,740.68/3,635.14
  6. Step 6: Final answer
    x = 1,348.71

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Similar ratio
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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.