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Finding the Fourth Proportional to 3,349, 5,022.96 and 2,372.14

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Solution

The fourth proportional to 3,349, 5,022.96 and 2,372.14 is: 3,557.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,349 : 5,022.96 = 2,372.14 : x
  2. Step 2: Convert to fraction form
    3,349/5,022.96 = 2,372.14/x
  3. Step 3: Cross multiply
    3,349x = 5,022.96 × 2,372.14
  4. Step 4: Simplify right side
    3,349x = 11,915,164.33
  5. Step 5: Solve for x
    x = 11,915,164.33/3,349
  6. Step 6: Final answer
    x = 3,557.83

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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.