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Finding the Fourth Proportional to 3,462.99, 5,196 and 1,819.16

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Solution

The fourth proportional to 3,462.99, 5,196 and 1,819.16 is: 2,729.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.99 : 5,196 = 1,819.16 : x
  2. Step 2: Convert to fraction form
    3,462.99/5,196 = 1,819.16/x
  3. Step 3: Cross multiply
    3,462.99x = 5,196 × 1,819.16
  4. Step 4: Simplify right side
    3,462.99x = 9,452,329.38
  5. Step 5: Solve for x
    x = 9,452,329.38/3,462.99
  6. Step 6: Final answer
    x = 2,729.53

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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.