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Finding the Fourth Proportional to 3,404.87, 5,106.00 and 1,324.62

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Solution

The fourth proportional to 3,404.87, 5,106.00 and 1,324.62 is: 1,986.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.87 : 5,106.00 = 1,324.62 : x
  2. Step 2: Convert to fraction form
    3,404.87/5,106.00 = 1,324.62/x
  3. Step 3: Cross multiply
    3,404.87x = 5,106.00 × 1,324.62
  4. Step 4: Simplify right side
    3,404.87x = 6,763,514.69
  5. Step 5: Solve for x
    x = 6,763,514.69/3,404.87
  6. Step 6: Final answer
    x = 1,986.42

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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.