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Finding the Fourth Proportional to 3,349.92, 5,021.64 and 2,113.50

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Solution

The fourth proportional to 3,349.92, 5,021.64 and 2,113.50 is: 3,168.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,349.92 : 5,021.64 = 2,113.50 : x
  2. Step 2: Convert to fraction form
    3,349.92/5,021.64 = 2,113.50/x
  3. Step 3: Cross multiply
    3,349.92x = 5,021.64 × 2,113.50
  4. Step 4: Simplify right side
    3,349.92x = 10,613,236.14
  5. Step 5: Solve for x
    x = 10,613,236.14/3,349.92
  6. Step 6: Final answer
    x = 3,168.21

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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.